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Finding the Third Proportional to 3,041,610,906,846.90 and 6,524,761,335,368.20

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Solution

The third proportional to 3,041,610,906,846.90 and 6,524,761,335,368.20 is: 13,996,698,390,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,610,906,846.90 : 6,524,761,335,368.20 = 6,524,761,335,368.20 : x
  2. Step 2: Convert to fraction form
    3,041,610,906,846.90/6,524,761,335,368.20 = 6,524,761,335,368.20/x
  3. Step 3: Cross multiply
    3,041,610,906,846.90x = 6,524,761,335,368.20 × 6,524,761,335,368.20
  4. Step 4: Simplify right side
    3,041,610,906,846.90x = 42,572,510,483,515,816,122,777,600
  5. Step 5: Solve for x
    x = 42,572,510,483,515,816,122,777,600/3,041,610,906,846.90
  6. Step 6: Final answer
    x = 13,996,698,390,212.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.