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Finding the Third Proportional to 349,764,655.50 and 747,956,872.13

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Solution

The third proportional to 349,764,655.50 and 747,956,872.13 is: 1,599,474,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764,655.50 : 747,956,872.13 = 747,956,872.13 : x
  2. Step 2: Convert to fraction form
    349,764,655.50/747,956,872.13 = 747,956,872.13/x
  3. Step 3: Cross multiply
    349,764,655.50x = 747,956,872.13 × 747,956,872.13
  4. Step 4: Simplify right side
    349,764,655.50x = 559,439,482,559,013,632
  5. Step 5: Solve for x
    x = 559,439,482,559,013,632/349,764,655.50
  6. Step 6: Final answer
    x = 1,599,474,028.50

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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.