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Finding the Third Proportional to 8,953,016.25 and 19,182,346.50

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Solution

The third proportional to 8,953,016.25 and 19,182,346.50 is: 41,099,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953,016.25 : 19,182,346.50 = 19,182,346.50 : x
  2. Step 2: Convert to fraction form
    8,953,016.25/19,182,346.50 = 19,182,346.50/x
  3. Step 3: Cross multiply
    8,953,016.25x = 19,182,346.50 × 19,182,346.50
  4. Step 4: Simplify right side
    8,953,016.25x = 367,962,417,246,062.25
  5. Step 5: Solve for x
    x = 367,962,417,246,062.25/8,953,016.25
  6. Step 6: Final answer
    x = 41,099,268.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.