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Finding the Third Proportional to 536,172,680 and 1,157,031,832

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Solution

The third proportional to 536,172,680 and 1,157,031,832 is: 2,496,812,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,172,680 : 1,157,031,832 = 1,157,031,832 : x
  2. Step 2: Convert to fraction form
    536,172,680/1,157,031,832 = 1,157,031,832/x
  3. Step 3: Cross multiply
    536,172,680x = 1,157,031,832 × 1,157,031,832
  4. Step 4: Simplify right side
    536,172,680x = 1,338,722,660,261,276,160
  5. Step 5: Solve for x
    x = 1,338,722,660,261,276,160/536,172,680
  6. Step 6: Final answer
    x = 2,496,812,519.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.