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Finding the Third Proportional to 10,342,423 and 16,664,398

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Solution

The third proportional to 10,342,423 and 16,664,398 is: 26,850,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342,423 : 16,664,398 = 16,664,398 : x
  2. Step 2: Convert to fraction form
    10,342,423/16,664,398 = 16,664,398/x
  3. Step 3: Cross multiply
    10,342,423x = 16,664,398 × 16,664,398
  4. Step 4: Simplify right side
    10,342,423x = 277,702,160,702,404
  5. Step 5: Solve for x
    x = 277,702,160,702,404/10,342,423
  6. Step 6: Final answer
    x = 26,850,783.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.