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Finding the Third Proportional to 9,287,620.31 and 19,699,019.44

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Solution

The third proportional to 9,287,620.31 and 19,699,019.44 is: 41,781,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,620.31 : 19,699,019.44 = 19,699,019.44 : x
  2. Step 2: Convert to fraction form
    9,287,620.31/19,699,019.44 = 19,699,019.44/x
  3. Step 3: Cross multiply
    9,287,620.31x = 19,699,019.44 × 19,699,019.44
  4. Step 4: Simplify right side
    9,287,620.31x = 388,051,366,799,002.81
  5. Step 5: Solve for x
    x = 388,051,366,799,002.81/9,287,620.31
  6. Step 6: Final answer
    x = 41,781,570.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.