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Finding the Third Proportional to 10,385,342 and 22,599,382

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Solution

The third proportional to 10,385,342 and 22,599,382 is: 49,178,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,342 : 22,599,382 = 22,599,382 : x
  2. Step 2: Convert to fraction form
    10,385,342/22,599,382 = 22,599,382/x
  3. Step 3: Cross multiply
    10,385,342x = 22,599,382 × 22,599,382
  4. Step 4: Simplify right side
    10,385,342x = 510,732,066,781,924
  5. Step 5: Solve for x
    x = 510,732,066,781,924/10,385,342
  6. Step 6: Final answer
    x = 49,178,165.42

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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.