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Finding the Third Proportional to 9,936,924 and 21,290,376

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Solution

The third proportional to 9,936,924 and 21,290,376 is: 45,615,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936,924 : 21,290,376 = 21,290,376 : x
  2. Step 2: Convert to fraction form
    9,936,924/21,290,376 = 21,290,376/x
  3. Step 3: Cross multiply
    9,936,924x = 21,290,376 × 21,290,376
  4. Step 4: Simplify right side
    9,936,924x = 453,280,110,221,376
  5. Step 5: Solve for x
    x = 453,280,110,221,376/9,936,924
  6. Step 6: Final answer
    x = 45,615,736.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.