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Finding the Third Proportional to 22,724,928.75 and 35,259,751.50

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Solution

The third proportional to 22,724,928.75 and 35,259,751.50 is: 54,708,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724,928.75 : 35,259,751.50 = 35,259,751.50 : x
  2. Step 2: Convert to fraction form
    22,724,928.75/35,259,751.50 = 35,259,751.50/x
  3. Step 3: Cross multiply
    22,724,928.75x = 35,259,751.50 × 35,259,751.50
  4. Step 4: Simplify right side
    22,724,928.75x = 1,243,250,075,841,752.25
  5. Step 5: Solve for x
    x = 1,243,250,075,841,752.25/22,724,928.75
  6. Step 6: Final answer
    x = 54,708,645.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.