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Finding the Third Proportional to 723,239,567 and 1,569,773,447

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Solution

The third proportional to 723,239,567 and 1,569,773,447 is: 3,407,154,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,567 : 1,569,773,447 = 1,569,773,447 : x
  2. Step 2: Convert to fraction form
    723,239,567/1,569,773,447 = 1,569,773,447/x
  3. Step 3: Cross multiply
    723,239,567x = 1,569,773,447 × 1,569,773,447
  4. Step 4: Simplify right side
    723,239,567x = 2,464,188,674,906,262,016
  5. Step 5: Solve for x
    x = 2,464,188,674,906,262,016/723,239,567
  6. Step 6: Final answer
    x = 3,407,154,126.16

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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.