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Finding the Third Proportional to 6,553,878 and 10,175,877

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Solution

The third proportional to 6,553,878 and 10,175,877 is: 15,799,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,878 : 10,175,877 = 10,175,877 : x
  2. Step 2: Convert to fraction form
    6,553,878/10,175,877 = 10,175,877/x
  3. Step 3: Cross multiply
    6,553,878x = 10,175,877 × 10,175,877
  4. Step 4: Simplify right side
    6,553,878x = 103,548,472,719,129
  5. Step 5: Solve for x
    x = 103,548,472,719,129/6,553,878
  6. Step 6: Final answer
    x = 15,799,572.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.