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Finding the Third Proportional to 10,278,630 and 14,461,767

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Solution

The third proportional to 10,278,630 and 14,461,767 is: 20,347,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278,630 : 14,461,767 = 14,461,767 : x
  2. Step 2: Convert to fraction form
    10,278,630/14,461,767 = 14,461,767/x
  3. Step 3: Cross multiply
    10,278,630x = 14,461,767 × 14,461,767
  4. Step 4: Simplify right side
    10,278,630x = 209,142,704,762,289
  5. Step 5: Solve for x
    x = 209,142,704,762,289/10,278,630
  6. Step 6: Final answer
    x = 20,347,332.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.