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Finding the Third Proportional to 22,342,023,972 and 48,606,655,518

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Solution

The third proportional to 22,342,023,972 and 48,606,655,518 is: 105,747,221,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342,023,972 : 48,606,655,518 = 48,606,655,518 : x
  2. Step 2: Convert to fraction form
    22,342,023,972/48,606,655,518 = 48,606,655,518/x
  3. Step 3: Cross multiply
    22,342,023,972x = 48,606,655,518 × 48,606,655,518
  4. Step 4: Simplify right side
    22,342,023,972x = 2,362,606,960,645,519,704,064
  5. Step 5: Solve for x
    x = 2,362,606,960,645,519,704,064/22,342,023,972
  6. Step 6: Final answer
    x = 105,747,221,630.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.