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Finding the Third Proportional to 5,259,849.75 and 7,127,726.63

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Solution

The third proportional to 5,259,849.75 and 7,127,726.63 is: 9,658,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,849.75 : 7,127,726.63 = 7,127,726.63 : x
  2. Step 2: Convert to fraction form
    5,259,849.75/7,127,726.63 = 7,127,726.63/x
  3. Step 3: Cross multiply
    5,259,849.75x = 7,127,726.63 × 7,127,726.63
  4. Step 4: Simplify right side
    5,259,849.75x = 50,804,486,840,733.89
  5. Step 5: Solve for x
    x = 50,804,486,840,733.89/5,259,849.75
  6. Step 6: Final answer
    x = 9,658,923.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.