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Finding the Third Proportional to 24,881,342,774.73 and 54,834,295,544.16

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Solution

The third proportional to 24,881,342,774.73 and 54,834,295,544.16 is: 120,845,566,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881,342,774.73 : 54,834,295,544.16 = 54,834,295,544.16 : x
  2. Step 2: Convert to fraction form
    24,881,342,774.73/54,834,295,544.16 = 54,834,295,544.16/x
  3. Step 3: Cross multiply
    24,881,342,774.73x = 54,834,295,544.16 × 54,834,295,544.16
  4. Step 4: Simplify right side
    24,881,342,774.73x = 3,006,799,967,823,736,602,624
  5. Step 5: Solve for x
    x = 3,006,799,967,823,736,602,624/24,881,342,774.73
  6. Step 6: Final answer
    x = 120,845,566,698.18

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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.