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Finding the Third Proportional to 9,982,842 and 21,478,842

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Solution

The third proportional to 9,982,842 and 21,478,842 is: 46,213,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,842 : 21,478,842 = 21,478,842 : x
  2. Step 2: Convert to fraction form
    9,982,842/21,478,842 = 21,478,842/x
  3. Step 3: Cross multiply
    9,982,842x = 21,478,842 × 21,478,842
  4. Step 4: Simplify right side
    9,982,842x = 461,340,653,660,964
  5. Step 5: Solve for x
    x = 461,340,653,660,964/9,982,842
  6. Step 6: Final answer
    x = 46,213,358.25

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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.