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Finding the Third Proportional to 15,672,624 and 24,218,196

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Solution

The third proportional to 15,672,624 and 24,218,196 is: 37,423,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672,624 : 24,218,196 = 24,218,196 : x
  2. Step 2: Convert to fraction form
    15,672,624/24,218,196 = 24,218,196/x
  3. Step 3: Cross multiply
    15,672,624x = 24,218,196 × 24,218,196
  4. Step 4: Simplify right side
    15,672,624x = 586,521,017,494,416
  5. Step 5: Solve for x
    x = 586,521,017,494,416/15,672,624
  6. Step 6: Final answer
    x = 37,423,281.35

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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.