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Finding the Third Proportional to 8,114,742 and 12,146,841

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Solution

The third proportional to 8,114,742 and 12,146,841 is: 18,182,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114,742 : 12,146,841 = 12,146,841 : x
  2. Step 2: Convert to fraction form
    8,114,742/12,146,841 = 12,146,841/x
  3. Step 3: Cross multiply
    8,114,742x = 12,146,841 × 12,146,841
  4. Step 4: Simplify right side
    8,114,742x = 147,545,746,279,281
  5. Step 5: Solve for x
    x = 147,545,746,279,281/8,114,742
  6. Step 6: Final answer
    x = 18,182,432.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.