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Finding the Third Proportional to 9,231,417 and 20,088,342

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Solution

The third proportional to 9,231,417 and 20,088,342 is: 43,713,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,417 : 20,088,342 = 20,088,342 : x
  2. Step 2: Convert to fraction form
    9,231,417/20,088,342 = 20,088,342/x
  3. Step 3: Cross multiply
    9,231,417x = 20,088,342 × 20,088,342
  4. Step 4: Simplify right side
    9,231,417x = 403,541,484,308,964
  5. Step 5: Solve for x
    x = 403,541,484,308,964/9,231,417
  6. Step 6: Final answer
    x = 43,713,926.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.