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Finding the Third Proportional to 14,746,734 and 22,569,165

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Solution

The third proportional to 14,746,734 and 22,569,165 is: 34,541,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746,734 : 22,569,165 = 22,569,165 : x
  2. Step 2: Convert to fraction form
    14,746,734/22,569,165 = 22,569,165/x
  3. Step 3: Cross multiply
    14,746,734x = 22,569,165 × 22,569,165
  4. Step 4: Simplify right side
    14,746,734x = 509,367,208,797,225
  5. Step 5: Solve for x
    x = 509,367,208,797,225/14,746,734
  6. Step 6: Final answer
    x = 34,541,018.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.