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Finding the Third Proportional to 311,020,677 and 668,197,575

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Solution

The third proportional to 311,020,677 and 668,197,575 is: 1,435,557,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,677 : 668,197,575 = 668,197,575 : x
  2. Step 2: Convert to fraction form
    311,020,677/668,197,575 = 668,197,575/x
  3. Step 3: Cross multiply
    311,020,677x = 668,197,575 × 668,197,575
  4. Step 4: Simplify right side
    311,020,677x = 446,487,999,235,880,640
  5. Step 5: Solve for x
    x = 446,487,999,235,880,640/311,020,677
  6. Step 6: Final answer
    x = 1,435,557,286.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.