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Finding the Third Proportional to 74,034,659,866 and 112,786,683,213

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Solution

The third proportional to 74,034,659,866 and 112,786,683,213 is: 171,822,710,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034,659,866 : 112,786,683,213 = 112,786,683,213 : x
  2. Step 2: Convert to fraction form
    74,034,659,866/112,786,683,213 = 112,786,683,213/x
  3. Step 3: Cross multiply
    74,034,659,866x = 112,786,683,213 × 112,786,683,213
  4. Step 4: Simplify right side
    74,034,659,866x = 12,720,835,910,189,616,988,160
  5. Step 5: Solve for x
    x = 12,720,835,910,189,616,988,160/74,034,659,866
  6. Step 6: Final answer
    x = 171,822,710,244.28

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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.