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Finding the Third Proportional to 33,948,421 and 69,465,651

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Solution

The third proportional to 33,948,421 and 69,465,651 is: 142,141,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,421 : 69,465,651 = 69,465,651 : x
  2. Step 2: Convert to fraction form
    33,948,421/69,465,651 = 69,465,651/x
  3. Step 3: Cross multiply
    33,948,421x = 69,465,651 × 69,465,651
  4. Step 4: Simplify right side
    33,948,421x = 4,825,476,668,853,801
  5. Step 5: Solve for x
    x = 4,825,476,668,853,801/33,948,421
  6. Step 6: Final answer
    x = 142,141,417.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.