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Finding the Third Proportional to 34,706,856,214 and 48,874,901,538

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Solution

The third proportional to 34,706,856,214 and 48,874,901,538 is: 68,826,631,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706,856,214 : 48,874,901,538 = 48,874,901,538 : x
  2. Step 2: Convert to fraction form
    34,706,856,214/48,874,901,538 = 48,874,901,538/x
  3. Step 3: Cross multiply
    34,706,856,214x = 48,874,901,538 × 48,874,901,538
  4. Step 4: Simplify right side
    34,706,856,214x = 2,388,756,000,349,194,551,296
  5. Step 5: Solve for x
    x = 2,388,756,000,349,194,551,296/34,706,856,214
  6. Step 6: Final answer
    x = 68,826,631,418.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.