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Finding the Third Proportional to 7,114,744,826 and 15,454,267,324

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Solution

The third proportional to 7,114,744,826 and 15,454,267,324 is: 33,568,931,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114,744,826 : 15,454,267,324 = 15,454,267,324 : x
  2. Step 2: Convert to fraction form
    7,114,744,826/15,454,267,324 = 15,454,267,324/x
  3. Step 3: Cross multiply
    7,114,744,826x = 15,454,267,324 × 15,454,267,324
  4. Step 4: Simplify right side
    7,114,744,826x = 238,834,378,521,654,132,736
  5. Step 5: Solve for x
    x = 238,834,378,521,654,132,736/7,114,744,826
  6. Step 6: Final answer
    x = 33,568,931,052.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.