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Finding the Third Proportional to 5,338,142 and 8,272,656

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Solution

The third proportional to 5,338,142 and 8,272,656 is: 12,820,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,142 : 8,272,656 = 8,272,656 : x
  2. Step 2: Convert to fraction form
    5,338,142/8,272,656 = 8,272,656/x
  3. Step 3: Cross multiply
    5,338,142x = 8,272,656 × 8,272,656
  4. Step 4: Simplify right side
    5,338,142x = 68,436,837,294,336
  5. Step 5: Solve for x
    x = 68,436,837,294,336/5,338,142
  6. Step 6: Final answer
    x = 12,820,347.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.