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Finding the Third Proportional to 349,764,734 and 747,957,029

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Solution

The third proportional to 349,764,734 and 747,957,029 is: 1,599,474,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764,734 : 747,957,029 = 747,957,029 : x
  2. Step 2: Convert to fraction form
    349,764,734/747,957,029 = 747,957,029/x
  3. Step 3: Cross multiply
    349,764,734x = 747,957,029 × 747,957,029
  4. Step 4: Simplify right side
    349,764,734x = 559,439,717,230,506,816
  5. Step 5: Solve for x
    x = 559,439,717,230,506,816/349,764,734
  6. Step 6: Final answer
    x = 1,599,474,340.46

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