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Finding the Third Proportional to 9,107,856 and 19,566,432

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Solution

The third proportional to 9,107,856 and 19,566,432 is: 42,034,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107,856 : 19,566,432 = 19,566,432 : x
  2. Step 2: Convert to fraction form
    9,107,856/19,566,432 = 19,566,432/x
  3. Step 3: Cross multiply
    9,107,856x = 19,566,432 × 19,566,432
  4. Step 4: Simplify right side
    9,107,856x = 382,845,261,210,624
  5. Step 5: Solve for x
    x = 382,845,261,210,624/9,107,856
  6. Step 6: Final answer
    x = 42,034,619.48

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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.