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Finding the Third Proportional to 4,193,948,315 and 6,511,904,287.50

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Solution

The third proportional to 4,193,948,315 and 6,511,904,287.50 is: 10,110,972,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,948,315 : 6,511,904,287.50 = 6,511,904,287.50 : x
  2. Step 2: Convert to fraction form
    4,193,948,315/6,511,904,287.50 = 6,511,904,287.50/x
  3. Step 3: Cross multiply
    4,193,948,315x = 6,511,904,287.50 × 6,511,904,287.50
  4. Step 4: Simplify right side
    4,193,948,315x = 42,404,897,449,560,883,200
  5. Step 5: Solve for x
    x = 42,404,897,449,560,883,200/4,193,948,315
  6. Step 6: Final answer
    x = 10,110,972,826.70

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1.5x scale

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.