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Finding the Third Proportional to 8,736,842.25 and 13,675,655.25

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Solution

The third proportional to 8,736,842.25 and 13,675,655.25 is: 21,406,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736,842.25 : 13,675,655.25 = 13,675,655.25 : x
  2. Step 2: Convert to fraction form
    8,736,842.25/13,675,655.25 = 13,675,655.25/x
  3. Step 3: Cross multiply
    8,736,842.25x = 13,675,655.25 × 13,675,655.25
  4. Step 4: Simplify right side
    8,736,842.25x = 187,023,546,516,852.56
  5. Step 5: Solve for x
    x = 187,023,546,516,852.56/8,736,842.25
  6. Step 6: Final answer
    x = 21,406,309.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.