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Finding the Third Proportional to 5,746,855.50 and 12,274,463.25

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Solution

The third proportional to 5,746,855.50 and 12,274,463.25 is: 26,216,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,855.50 : 12,274,463.25 = 12,274,463.25 : x
  2. Step 2: Convert to fraction form
    5,746,855.50/12,274,463.25 = 12,274,463.25/x
  3. Step 3: Cross multiply
    5,746,855.50x = 12,274,463.25 × 12,274,463.25
  4. Step 4: Simplify right side
    5,746,855.50x = 150,662,448,075,600.56
  5. Step 5: Solve for x
    x = 150,662,448,075,600.56/5,746,855.50
  6. Step 6: Final answer
    x = 26,216,501.89

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