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Finding the Third Proportional to 7,881,904 and 16,979,294

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Solution

The third proportional to 7,881,904 and 16,979,294 is: 36,577,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,904 : 16,979,294 = 16,979,294 : x
  2. Step 2: Convert to fraction form
    7,881,904/16,979,294 = 16,979,294/x
  3. Step 3: Cross multiply
    7,881,904x = 16,979,294 × 16,979,294
  4. Step 4: Simplify right side
    7,881,904x = 288,296,424,738,436
  5. Step 5: Solve for x
    x = 288,296,424,738,436/7,881,904
  6. Step 6: Final answer
    x = 36,577,002.81

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Why These Related Problems?

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