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Finding the Third Proportional to 34,763,013 and 74,827,314

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Solution

The third proportional to 34,763,013 and 74,827,314 is: 161,065,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,763,013 : 74,827,314 = 74,827,314 : x
  2. Step 2: Convert to fraction form
    34,763,013/74,827,314 = 74,827,314/x
  3. Step 3: Cross multiply
    34,763,013x = 74,827,314 × 74,827,314
  4. Step 4: Simplify right side
    34,763,013x = 5,599,126,920,454,596
  5. Step 5: Solve for x
    x = 5,599,126,920,454,596/34,763,013
  6. Step 6: Final answer
    x = 161,065,639.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.