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Finding the Third Proportional to 9,106,564 and 18,578,920

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Solution

The third proportional to 9,106,564 and 18,578,920 is: 37,904,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,564 : 18,578,920 = 18,578,920 : x
  2. Step 2: Convert to fraction form
    9,106,564/18,578,920 = 18,578,920/x
  3. Step 3: Cross multiply
    9,106,564x = 18,578,920 × 18,578,920
  4. Step 4: Simplify right side
    9,106,564x = 345,176,268,366,400
  5. Step 5: Solve for x
    x = 345,176,268,366,400/9,106,564
  6. Step 6: Final answer
    x = 37,904,117.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.