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Finding the Third Proportional to 217,886,625 and 466,857,594

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Solution

The third proportional to 217,886,625 and 466,857,594 is: 1,000,318,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,886,625 : 466,857,594 = 466,857,594 : x
  2. Step 2: Convert to fraction form
    217,886,625/466,857,594 = 466,857,594/x
  3. Step 3: Cross multiply
    217,886,625x = 466,857,594 × 466,857,594
  4. Step 4: Simplify right side
    217,886,625x = 217,956,013,075,468,832
  5. Step 5: Solve for x
    x = 217,956,013,075,468,832/217,886,625
  6. Step 6: Final answer
    x = 1,000,318,459.55

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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.