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Finding the Third Proportional to 51,719,114 and 77,436,219

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Solution

The third proportional to 51,719,114 and 77,436,219 is: 115,941,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719,114 : 77,436,219 = 77,436,219 : x
  2. Step 2: Convert to fraction form
    51,719,114/77,436,219 = 77,436,219/x
  3. Step 3: Cross multiply
    51,719,114x = 77,436,219 × 77,436,219
  4. Step 4: Simplify right side
    51,719,114x = 5,996,368,013,015,961
  5. Step 5: Solve for x
    x = 5,996,368,013,015,961/51,719,114
  6. Step 6: Final answer
    x = 115,941,042.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.