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Finding the Third Proportional to 74,034,659,864 and 112,786,683,204

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Solution

The third proportional to 74,034,659,864 and 112,786,683,204 is: 171,822,710,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034,659,864 : 112,786,683,204 = 112,786,683,204 : x
  2. Step 2: Convert to fraction form
    74,034,659,864/112,786,683,204 = 112,786,683,204/x
  3. Step 3: Cross multiply
    74,034,659,864x = 112,786,683,204 × 112,786,683,204
  4. Step 4: Simplify right side
    74,034,659,864x = 12,720,835,908,159,456,411,648
  5. Step 5: Solve for x
    x = 12,720,835,908,159,456,411,648/74,034,659,864
  6. Step 6: Final answer
    x = 171,822,710,221.50

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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.