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Finding the Third Proportional to 7,509,874 and 15,417,864

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Solution

The third proportional to 7,509,874 and 15,417,864 is: 31,653,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,874 : 15,417,864 = 15,417,864 : x
  2. Step 2: Convert to fraction form
    7,509,874/15,417,864 = 15,417,864/x
  3. Step 3: Cross multiply
    7,509,874x = 15,417,864 × 15,417,864
  4. Step 4: Simplify right side
    7,509,874x = 237,710,530,322,496
  5. Step 5: Solve for x
    x = 237,710,530,322,496/7,509,874
  6. Step 6: Final answer
    x = 31,653,065.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.