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Finding the Third Proportional to 10,693,877 and 23,092,291

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Solution

The third proportional to 10,693,877 and 23,092,291 is: 49,865,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,877 : 23,092,291 = 23,092,291 : x
  2. Step 2: Convert to fraction form
    10,693,877/23,092,291 = 23,092,291/x
  3. Step 3: Cross multiply
    10,693,877x = 23,092,291 × 23,092,291
  4. Step 4: Simplify right side
    10,693,877x = 533,253,903,628,681
  5. Step 5: Solve for x
    x = 533,253,903,628,681/10,693,877
  6. Step 6: Final answer
    x = 49,865,348.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.