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Finding the Third Proportional to 370,233,472 and 769,164,564

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Solution

The third proportional to 370,233,472 and 769,164,564 is: 1,597,948,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,233,472 : 769,164,564 = 769,164,564 : x
  2. Step 2: Convert to fraction form
    370,233,472/769,164,564 = 769,164,564/x
  3. Step 3: Cross multiply
    370,233,472x = 769,164,564 × 769,164,564
  4. Step 4: Simplify right side
    370,233,472x = 591,614,126,513,310,080
  5. Step 5: Solve for x
    x = 591,614,126,513,310,080/370,233,472
  6. Step 6: Final answer
    x = 1,597,948,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.