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Finding the Third Proportional to 4,548,662,928 and 6,878,981,592

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Solution

The third proportional to 4,548,662,928 and 6,878,981,592 is: 10,403,142,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548,662,928 : 6,878,981,592 = 6,878,981,592 : x
  2. Step 2: Convert to fraction form
    4,548,662,928/6,878,981,592 = 6,878,981,592/x
  3. Step 3: Cross multiply
    4,548,662,928x = 6,878,981,592 × 6,878,981,592
  4. Step 4: Simplify right side
    4,548,662,928x = 47,320,387,743,074,852,864
  5. Step 5: Solve for x
    x = 47,320,387,743,074,852,864/4,548,662,928
  6. Step 6: Final answer
    x = 10,403,142,306.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.