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Finding the Third Proportional to 3,041,610,906,845.60 and 6,524,761,335,365.80

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Solution

The third proportional to 3,041,610,906,845.60 and 6,524,761,335,365.80 is: 13,996,698,390,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,610,906,845.60 : 6,524,761,335,365.80 = 6,524,761,335,365.80 : x
  2. Step 2: Convert to fraction form
    3,041,610,906,845.60/6,524,761,335,365.80 = 6,524,761,335,365.80/x
  3. Step 3: Cross multiply
    3,041,610,906,845.60x = 6,524,761,335,365.80 × 6,524,761,335,365.80
  4. Step 4: Simplify right side
    3,041,610,906,845.60x = 42,572,510,483,484,497,221,255,168
  5. Step 5: Solve for x
    x = 42,572,510,483,484,497,221,255,168/3,041,610,906,845.60
  6. Step 6: Final answer
    x = 13,996,698,390,207.87

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