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Finding the Third Proportional to 3,100,955,936 and 4,766,387,511

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Solution

The third proportional to 3,100,955,936 and 4,766,387,511 is: 7,326,273,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,955,936 : 4,766,387,511 = 4,766,387,511 : x
  2. Step 2: Convert to fraction form
    3,100,955,936/4,766,387,511 = 4,766,387,511/x
  3. Step 3: Cross multiply
    3,100,955,936x = 4,766,387,511 × 4,766,387,511
  4. Step 4: Simplify right side
    3,100,955,936x = 22,718,449,905,016,774,656
  5. Step 5: Solve for x
    x = 22,718,449,905,016,774,656/3,100,955,936
  6. Step 6: Final answer
    x = 7,326,273,050.60

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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.