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Finding the Third Proportional to 350,471,322 and 747,851,427

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Solution

The third proportional to 350,471,322 and 747,851,427 is: 1,595,798,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471,322 : 747,851,427 = 747,851,427 : x
  2. Step 2: Convert to fraction form
    350,471,322/747,851,427 = 747,851,427/x
  3. Step 3: Cross multiply
    350,471,322x = 747,851,427 × 747,851,427
  4. Step 4: Simplify right side
    350,471,322x = 559,281,756,865,936,320
  5. Step 5: Solve for x
    x = 559,281,756,865,936,320/350,471,322
  6. Step 6: Final answer
    x = 1,595,798,919.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.