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Finding the Third Proportional to 10,096,753 and 15,663,695

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Solution

The third proportional to 10,096,753 and 15,663,695 is: 24,300,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096,753 : 15,663,695 = 15,663,695 : x
  2. Step 2: Convert to fraction form
    10,096,753/15,663,695 = 15,663,695/x
  3. Step 3: Cross multiply
    10,096,753x = 15,663,695 × 15,663,695
  4. Step 4: Simplify right side
    10,096,753x = 245,351,341,053,025
  5. Step 5: Solve for x
    x = 245,351,341,053,025/10,096,753
  6. Step 6: Final answer
    x = 24,300,024.08

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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.