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Finding the Third Proportional to 74,034,659,868 and 112,786,683,216

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Solution

The third proportional to 74,034,659,868 and 112,786,683,216 is: 171,822,710,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034,659,868 : 112,786,683,216 = 112,786,683,216 : x
  2. Step 2: Convert to fraction form
    74,034,659,868/112,786,683,216 = 112,786,683,216/x
  3. Step 3: Cross multiply
    74,034,659,868x = 112,786,683,216 × 112,786,683,216
  4. Step 4: Simplify right side
    74,034,659,868x = 12,720,835,910,866,336,481,280
  5. Step 5: Solve for x
    x = 12,720,835,910,866,336,481,280/74,034,659,868
  6. Step 6: Final answer
    x = 171,822,710,248.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.