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Finding the Third Proportional to 29,891,324,399 and 65,875,452,695

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Solution

The third proportional to 29,891,324,399 and 65,875,452,695 is: 145,178,420,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891,324,399 : 65,875,452,695 = 65,875,452,695 : x
  2. Step 2: Convert to fraction form
    29,891,324,399/65,875,452,695 = 65,875,452,695/x
  3. Step 3: Cross multiply
    29,891,324,399x = 65,875,452,695 × 65,875,452,695
  4. Step 4: Simplify right side
    29,891,324,399x = 4,339,575,267,771,182,743,552
  5. Step 5: Solve for x
    x = 4,339,575,267,771,182,743,552/29,891,324,399
  6. Step 6: Final answer
    x = 145,178,420,662.97

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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.