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Finding the Third Proportional to 525,181,806 and 1,215,700,812

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Solution

The third proportional to 525,181,806 and 1,215,700,812 is: 2,814,127,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,181,806 : 1,215,700,812 = 1,215,700,812 : x
  2. Step 2: Convert to fraction form
    525,181,806/1,215,700,812 = 1,215,700,812/x
  3. Step 3: Cross multiply
    525,181,806x = 1,215,700,812 × 1,215,700,812
  4. Step 4: Simplify right side
    525,181,806x = 1,477,928,464,297,459,456
  5. Step 5: Solve for x
    x = 1,477,928,464,297,459,456/525,181,806
  6. Step 6: Final answer
    x = 2,814,127,312.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.