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Finding the Third Proportional to 35,211,444.75 and 75,268,701

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Solution

The third proportional to 35,211,444.75 and 75,268,701 is: 160,895,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,211,444.75 : 75,268,701 = 75,268,701 : x
  2. Step 2: Convert to fraction form
    35,211,444.75/75,268,701 = 75,268,701/x
  3. Step 3: Cross multiply
    35,211,444.75x = 75,268,701 × 75,268,701
  4. Step 4: Simplify right side
    35,211,444.75x = 5,665,377,350,227,401
  5. Step 5: Solve for x
    x = 5,665,377,350,227,401/35,211,444.75
  6. Step 6: Final answer
    x = 160,895,907.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.