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Finding the Third Proportional to 13,643,624 and 29,557,780

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Solution

The third proportional to 13,643,624 and 29,557,780 is: 64,034,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,624 : 29,557,780 = 29,557,780 : x
  2. Step 2: Convert to fraction form
    13,643,624/29,557,780 = 29,557,780/x
  3. Step 3: Cross multiply
    13,643,624x = 29,557,780 × 29,557,780
  4. Step 4: Simplify right side
    13,643,624x = 873,662,358,528,400
  5. Step 5: Solve for x
    x = 873,662,358,528,400/13,643,624
  6. Step 6: Final answer
    x = 64,034,479.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.