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Finding the Third Proportional to 9,107,478 and 19,728,316

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Solution

The third proportional to 9,107,478 and 19,728,316 is: 42,734,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107,478 : 19,728,316 = 19,728,316 : x
  2. Step 2: Convert to fraction form
    9,107,478/19,728,316 = 19,728,316/x
  3. Step 3: Cross multiply
    9,107,478x = 19,728,316 × 19,728,316
  4. Step 4: Simplify right side
    9,107,478x = 389,206,452,195,856
  5. Step 5: Solve for x
    x = 389,206,452,195,856/9,107,478
  6. Step 6: Final answer
    x = 42,734,822.11

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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.