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Finding the Third Proportional to 33,013,487 and 77,679,340

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Solution

The third proportional to 33,013,487 and 77,679,340 is: 182,776,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013,487 : 77,679,340 = 77,679,340 : x
  2. Step 2: Convert to fraction form
    33,013,487/77,679,340 = 77,679,340/x
  3. Step 3: Cross multiply
    33,013,487x = 77,679,340 × 77,679,340
  4. Step 4: Simplify right side
    33,013,487x = 6,034,079,862,835,600
  5. Step 5: Solve for x
    x = 6,034,079,862,835,600/33,013,487
  6. Step 6: Final answer
    x = 182,776,204.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.