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Finding the Third Proportional to 24,881,342,226 and 54,834,294,422

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Solution

The third proportional to 24,881,342,226 and 54,834,294,422 is: 120,845,564,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881,342,226 : 54,834,294,422 = 54,834,294,422 : x
  2. Step 2: Convert to fraction form
    24,881,342,226/54,834,294,422 = 54,834,294,422/x
  3. Step 3: Cross multiply
    24,881,342,226x = 54,834,294,422 × 54,834,294,422
  4. Step 4: Simplify right side
    24,881,342,226x = 3,006,799,844,758,580,101,120
  5. Step 5: Solve for x
    x = 3,006,799,844,758,580,101,120/24,881,342,226
  6. Step 6: Final answer
    x = 120,845,564,417.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.