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Finding the Third Proportional to 15,672,315 and 24,217,726.50

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Solution

The third proportional to 15,672,315 and 24,217,726.50 is: 37,422,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672,315 : 24,217,726.50 = 24,217,726.50 : x
  2. Step 2: Convert to fraction form
    15,672,315/24,217,726.50 = 24,217,726.50/x
  3. Step 3: Cross multiply
    15,672,315x = 24,217,726.50 × 24,217,726.50
  4. Step 4: Simplify right side
    15,672,315x = 586,498,276,828,802.25
  5. Step 5: Solve for x
    x = 586,498,276,828,802.25/15,672,315
  6. Step 6: Final answer
    x = 37,422,568.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.