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Finding the Third Proportional to 29,891,324,397 and 65,875,452,691

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Solution

The third proportional to 29,891,324,397 and 65,875,452,691 is: 145,178,420,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891,324,397 : 65,875,452,691 = 65,875,452,691 : x
  2. Step 2: Convert to fraction form
    29,891,324,397/65,875,452,691 = 65,875,452,691/x
  3. Step 3: Cross multiply
    29,891,324,397x = 65,875,452,691 × 65,875,452,691
  4. Step 4: Simplify right side
    29,891,324,397x = 4,339,575,267,244,178,931,712
  5. Step 5: Solve for x
    x = 4,339,575,267,244,178,931,712/29,891,324,397
  6. Step 6: Final answer
    x = 145,178,420,655.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.