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Finding the Third Proportional to 7,521,464 and 11,458,506

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Solution

The third proportional to 7,521,464 and 11,458,506 is: 17,456,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521,464 : 11,458,506 = 11,458,506 : x
  2. Step 2: Convert to fraction form
    7,521,464/11,458,506 = 11,458,506/x
  3. Step 3: Cross multiply
    7,521,464x = 11,458,506 × 11,458,506
  4. Step 4: Simplify right side
    7,521,464x = 131,297,359,752,036
  5. Step 5: Solve for x
    x = 131,297,359,752,036/7,521,464
  6. Step 6: Final answer
    x = 17,456,356.87

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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.