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Finding the Third Proportional to 10,708,743.75 and 16,314,005.25

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Solution

The third proportional to 10,708,743.75 and 16,314,005.25 is: 24,853,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708,743.75 : 16,314,005.25 = 16,314,005.25 : x
  2. Step 2: Convert to fraction form
    10,708,743.75/16,314,005.25 = 16,314,005.25/x
  3. Step 3: Cross multiply
    10,708,743.75x = 16,314,005.25 × 16,314,005.25
  4. Step 4: Simplify right side
    10,708,743.75x = 266,146,767,297,027.56
  5. Step 5: Solve for x
    x = 266,146,767,297,027.56/10,708,743.75
  6. Step 6: Final answer
    x = 24,853,220.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.