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Finding the Third Proportional to 10,707,470 and 16,312,154

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Solution

The third proportional to 10,707,470 and 16,312,154 is: 24,850,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,470 : 16,312,154 = 16,312,154 : x
  2. Step 2: Convert to fraction form
    10,707,470/16,312,154 = 16,312,154/x
  3. Step 3: Cross multiply
    10,707,470x = 16,312,154 × 16,312,154
  4. Step 4: Simplify right side
    10,707,470x = 266,086,368,119,716
  5. Step 5: Solve for x
    x = 266,086,368,119,716/10,707,470
  6. Step 6: Final answer
    x = 24,850,535.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.