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Finding the Third Proportional to 14,746,760 and 22,569,200

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Solution

The third proportional to 14,746,760 and 22,569,200 is: 34,541,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746,760 : 22,569,200 = 22,569,200 : x
  2. Step 2: Convert to fraction form
    14,746,760/22,569,200 = 22,569,200/x
  3. Step 3: Cross multiply
    14,746,760x = 22,569,200 × 22,569,200
  4. Step 4: Simplify right side
    14,746,760x = 509,368,788,640,000
  5. Step 5: Solve for x
    x = 509,368,788,640,000/14,746,760
  6. Step 6: Final answer
    x = 34,541,064.52

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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.