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Finding the Third Proportional to 5,896,408 and 12,387,248

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Solution

The third proportional to 5,896,408 and 12,387,248 is: 26,023,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,408 : 12,387,248 = 12,387,248 : x
  2. Step 2: Convert to fraction form
    5,896,408/12,387,248 = 12,387,248/x
  3. Step 3: Cross multiply
    5,896,408x = 12,387,248 × 12,387,248
  4. Step 4: Simplify right side
    5,896,408x = 153,443,913,013,504
  5. Step 5: Solve for x
    x = 153,443,913,013,504/5,896,408
  6. Step 6: Final answer
    x = 26,023,286.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.