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Finding the Third Proportional to 7,322,414 and 15,746,788

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Solution

The third proportional to 7,322,414 and 15,746,788 is: 33,863,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322,414 : 15,746,788 = 15,746,788 : x
  2. Step 2: Convert to fraction form
    7,322,414/15,746,788 = 15,746,788/x
  3. Step 3: Cross multiply
    7,322,414x = 15,746,788 × 15,746,788
  4. Step 4: Simplify right side
    7,322,414x = 247,961,332,316,944
  5. Step 5: Solve for x
    x = 247,961,332,316,944/7,322,414
  6. Step 6: Final answer
    x = 33,863,331.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.