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Finding the Third Proportional to 723,239,606 and 1,569,773,523

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Solution

The third proportional to 723,239,606 and 1,569,773,523 is: 3,407,154,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,606 : 1,569,773,523 = 1,569,773,523 : x
  2. Step 2: Convert to fraction form
    723,239,606/1,569,773,523 = 1,569,773,523/x
  3. Step 3: Cross multiply
    723,239,606x = 1,569,773,523 × 1,569,773,523
  4. Step 4: Simplify right side
    723,239,606x = 2,464,188,913,511,831,552
  5. Step 5: Solve for x
    x = 2,464,188,913,511,831,552/723,239,606
  6. Step 6: Final answer
    x = 3,407,154,272.34

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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.