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Finding the Third Proportional to 7,878,882 and 16,934,775

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Solution

The third proportional to 7,878,882 and 16,934,775 is: 36,399,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,882 : 16,934,775 = 16,934,775 : x
  2. Step 2: Convert to fraction form
    7,878,882/16,934,775 = 16,934,775/x
  3. Step 3: Cross multiply
    7,878,882x = 16,934,775 × 16,934,775
  4. Step 4: Simplify right side
    7,878,882x = 286,786,604,300,625
  5. Step 5: Solve for x
    x = 286,786,604,300,625/7,878,882
  6. Step 6: Final answer
    x = 36,399,403.41

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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.