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Finding the Third Proportional to 316,987,102 and 690,248,812

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Solution

The third proportional to 316,987,102 and 690,248,812 is: 1,503,037,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,987,102 : 690,248,812 = 690,248,812 : x
  2. Step 2: Convert to fraction form
    316,987,102/690,248,812 = 690,248,812/x
  3. Step 3: Cross multiply
    316,987,102x = 690,248,812 × 690,248,812
  4. Step 4: Simplify right side
    316,987,102x = 476,443,422,467,411,328
  5. Step 5: Solve for x
    x = 476,443,422,467,411,328/316,987,102
  6. Step 6: Final answer
    x = 1,503,037,251.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.