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Finding the Third Proportional to 723,239,613 and 1,569,773,537

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Solution

The third proportional to 723,239,613 and 1,569,773,537 is: 3,407,154,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,613 : 1,569,773,537 = 1,569,773,537 : x
  2. Step 2: Convert to fraction form
    723,239,613/1,569,773,537 = 1,569,773,537/x
  3. Step 3: Cross multiply
    723,239,613x = 1,569,773,537 × 1,569,773,537
  4. Step 4: Simplify right side
    723,239,613x = 2,464,188,957,465,490,432
  5. Step 5: Solve for x
    x = 2,464,188,957,465,490,432/723,239,613
  6. Step 6: Final answer
    x = 3,407,154,300.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.