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Finding the Third Proportional to 5,704,253,466 and 12,193,528,394

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Solution

The third proportional to 5,704,253,466 and 12,193,528,394 is: 26,065,134,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704,253,466 : 12,193,528,394 = 12,193,528,394 : x
  2. Step 2: Convert to fraction form
    5,704,253,466/12,193,528,394 = 12,193,528,394/x
  3. Step 3: Cross multiply
    5,704,253,466x = 12,193,528,394 × 12,193,528,394
  4. Step 4: Simplify right side
    5,704,253,466x = 148,682,134,695,284,211,712
  5. Step 5: Solve for x
    x = 148,682,134,695,284,211,712/5,704,253,466
  6. Step 6: Final answer
    x = 26,065,134,654.60

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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.