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Finding the Third Proportional to 34,930,174,651 and 75,980,477,074

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Solution

The third proportional to 34,930,174,651 and 75,980,477,074 is: 165,273,519,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,174,651 : 75,980,477,074 = 75,980,477,074 : x
  2. Step 2: Convert to fraction form
    34,930,174,651/75,980,477,074 = 75,980,477,074/x
  3. Step 3: Cross multiply
    34,930,174,651x = 75,980,477,074 × 75,980,477,074
  4. Step 4: Simplify right side
    34,930,174,651x = 5,773,032,896,392,639,545,344
  5. Step 5: Solve for x
    x = 5,773,032,896,392,639,545,344/34,930,174,651
  6. Step 6: Final answer
    x = 165,273,519,358.92

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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.