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Finding the Third Proportional to 21,790,775,486,520 and 48,023,205,013,440

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Solution

The third proportional to 21,790,775,486,520 and 48,023,205,013,440 is: 105,835,068,659,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790,775,486,520 : 48,023,205,013,440 = 48,023,205,013,440 : x
  2. Step 2: Convert to fraction form
    21,790,775,486,520/48,023,205,013,440 = 48,023,205,013,440/x
  3. Step 3: Cross multiply
    21,790,775,486,520x = 48,023,205,013,440 × 48,023,205,013,440
  4. Step 4: Simplify right side
    21,790,775,486,520x = 2,306,228,219,762,888,795,400,175,616
  5. Step 5: Solve for x
    x = 2,306,228,219,762,888,795,400,175,616/21,790,775,486,520
  6. Step 6: Final answer
    x = 105,835,068,659,651.22

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