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Finding the Third Proportional to 10,707,458 and 16,312,135

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Solution

The third proportional to 10,707,458 and 16,312,135 is: 24,850,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,458 : 16,312,135 = 16,312,135 : x
  2. Step 2: Convert to fraction form
    10,707,458/16,312,135 = 16,312,135/x
  3. Step 3: Cross multiply
    10,707,458x = 16,312,135 × 16,312,135
  4. Step 4: Simplify right side
    10,707,458x = 266,085,748,258,225
  5. Step 5: Solve for x
    x = 266,085,748,258,225/10,707,458
  6. Step 6: Final answer
    x = 24,850,505.91

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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.