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Finding the Third Proportional to 723,239,665 and 1,569,773,641

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Solution

The third proportional to 723,239,665 and 1,569,773,641 is: 3,407,154,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,665 : 1,569,773,641 = 1,569,773,641 : x
  2. Step 2: Convert to fraction form
    723,239,665/1,569,773,641 = 1,569,773,641/x
  3. Step 3: Cross multiply
    723,239,665x = 1,569,773,641 × 1,569,773,641
  4. Step 4: Simplify right side
    723,239,665x = 2,464,189,283,978,396,672
  5. Step 5: Solve for x
    x = 2,464,189,283,978,396,672/723,239,665
  6. Step 6: Final answer
    x = 3,407,154,506.63

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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.