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Finding the Third Proportional to 34,300,182,156 and 74,298,671,520

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Solution

The third proportional to 34,300,182,156 and 74,298,671,520 is: 160,940,620,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,156 : 74,298,671,520 = 74,298,671,520 : x
  2. Step 2: Convert to fraction form
    34,300,182,156/74,298,671,520 = 74,298,671,520/x
  3. Step 3: Cross multiply
    34,300,182,156x = 74,298,671,520 × 74,298,671,520
  4. Step 4: Simplify right side
    34,300,182,156x = 5,520,292,589,636,858,937,344
  5. Step 5: Solve for x
    x = 5,520,292,589,636,858,937,344/34,300,182,156
  6. Step 6: Final answer
    x = 160,940,620,213.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.