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Finding the Third Proportional to 6,402,516 and 9,766,377

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Solution

The third proportional to 6,402,516 and 9,766,377 is: 14,897,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402,516 : 9,766,377 = 9,766,377 : x
  2. Step 2: Convert to fraction form
    6,402,516/9,766,377 = 9,766,377/x
  3. Step 3: Cross multiply
    6,402,516x = 9,766,377 × 9,766,377
  4. Step 4: Simplify right side
    6,402,516x = 95,382,119,706,129
  5. Step 5: Solve for x
    x = 95,382,119,706,129/6,402,516
  6. Step 6: Final answer
    x = 14,897,599.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.