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Finding the Third Proportional to 3,100,943,250 and 4,766,364,567

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Solution

The third proportional to 3,100,943,250 and 4,766,364,567 is: 7,326,232,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,943,250 : 4,766,364,567 = 4,766,364,567 : x
  2. Step 2: Convert to fraction form
    3,100,943,250/4,766,364,567 = 4,766,364,567/x
  3. Step 3: Cross multiply
    3,100,943,250x = 4,766,364,567 × 4,766,364,567
  4. Step 4: Simplify right side
    3,100,943,250x = 22,718,231,185,553,096,704
  5. Step 5: Solve for x
    x = 22,718,231,185,553,096,704/3,100,943,250
  6. Step 6: Final answer
    x = 7,326,232,489.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.