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Finding the Third Proportional to 10,178,859 and 22,186,695

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Solution

The third proportional to 10,178,859 and 22,186,695 is: 48,359,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178,859 : 22,186,695 = 22,186,695 : x
  2. Step 2: Convert to fraction form
    10,178,859/22,186,695 = 22,186,695/x
  3. Step 3: Cross multiply
    10,178,859x = 22,186,695 × 22,186,695
  4. Step 4: Simplify right side
    10,178,859x = 492,249,435,023,025
  5. Step 5: Solve for x
    x = 492,249,435,023,025/10,178,859
  6. Step 6: Final answer
    x = 48,359,981.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.