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Finding the Third Proportional to 10,693,878.75 and 23,092,292.25

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Solution

The third proportional to 10,693,878.75 and 23,092,292.25 is: 49,865,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,878.75 : 23,092,292.25 = 23,092,292.25 : x
  2. Step 2: Convert to fraction form
    10,693,878.75/23,092,292.25 = 23,092,292.25/x
  3. Step 3: Cross multiply
    10,693,878.75x = 23,092,292.25 × 23,092,292.25
  4. Step 4: Simplify right side
    10,693,878.75x = 533,253,961,359,410.06
  5. Step 5: Solve for x
    x = 533,253,961,359,410.06/10,693,878.75
  6. Step 6: Final answer
    x = 49,865,345.76

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