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Finding the Third Proportional to 7,567,879 and 16,144,785.50

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Solution

The third proportional to 7,567,879 and 16,144,785.50 is: 34,442,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,879 : 16,144,785.50 = 16,144,785.50 : x
  2. Step 2: Convert to fraction form
    7,567,879/16,144,785.50 = 16,144,785.50/x
  3. Step 3: Cross multiply
    7,567,879x = 16,144,785.50 × 16,144,785.50
  4. Step 4: Simplify right side
    7,567,879x = 260,654,098,841,010.25
  5. Step 5: Solve for x
    x = 260,654,098,841,010.25/7,567,879
  6. Step 6: Final answer
    x = 34,442,159.93

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.