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Finding the Third Proportional to 10,146,600 and 15,704,316

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Solution

The third proportional to 10,146,600 and 15,704,316 is: 24,306,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146,600 : 15,704,316 = 15,704,316 : x
  2. Step 2: Convert to fraction form
    10,146,600/15,704,316 = 15,704,316/x
  3. Step 3: Cross multiply
    10,146,600x = 15,704,316 × 15,704,316
  4. Step 4: Simplify right side
    10,146,600x = 246,625,541,027,856
  5. Step 5: Solve for x
    x = 246,625,541,027,856/10,146,600
  6. Step 6: Final answer
    x = 24,306,224.85

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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.