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Finding the Third Proportional to 24,881,342,824 and 54,834,295,645

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Solution

The third proportional to 24,881,342,824 and 54,834,295,645 is: 120,845,566,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881,342,824 : 54,834,295,645 = 54,834,295,645 : x
  2. Step 2: Convert to fraction form
    24,881,342,824/54,834,295,645 = 54,834,295,645/x
  3. Step 3: Cross multiply
    24,881,342,824x = 54,834,295,645 × 54,834,295,645
  4. Step 4: Simplify right side
    24,881,342,824x = 3,006,799,978,883,265,855,488
  5. Step 5: Solve for x
    x = 3,006,799,978,883,265,855,488/24,881,342,824
  6. Step 6: Final answer
    x = 120,845,566,903.37

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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.