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Finding the Third Proportional to 723,239,689 and 1,569,773,689

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Solution

The third proportional to 723,239,689 and 1,569,773,689 is: 3,407,154,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,239,689 : 1,569,773,689 = 1,569,773,689 : x
  2. Step 2: Convert to fraction form
    723,239,689/1,569,773,689 = 1,569,773,689/x
  3. Step 3: Cross multiply
    723,239,689x = 1,569,773,689 × 1,569,773,689
  4. Step 4: Simplify right side
    723,239,689x = 2,464,189,434,676,668,928
  5. Step 5: Solve for x
    x = 2,464,189,434,676,668,928/723,239,689
  6. Step 6: Final answer
    x = 3,407,154,601.93

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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.