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Finding the Third Proportional to 10,951,737.75 and 17,024,963.63

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Solution

The third proportional to 10,951,737.75 and 17,024,963.63 is: 26,466,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951,737.75 : 17,024,963.63 = 17,024,963.63 : x
  2. Step 2: Convert to fraction form
    10,951,737.75/17,024,963.63 = 17,024,963.63/x
  3. Step 3: Cross multiply
    10,951,737.75x = 17,024,963.63 × 17,024,963.63
  4. Step 4: Simplify right side
    10,951,737.75x = 289,849,386,432,573.12
  5. Step 5: Solve for x
    x = 289,849,386,432,573.12/10,951,737.75
  6. Step 6: Final answer
    x = 26,466,063.47

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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.