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Finding the Third Proportional to 52,810,962.75 and 80,784,813.75

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Solution

The third proportional to 52,810,962.75 and 80,784,813.75 is: 123,576,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810,962.75 : 80,784,813.75 = 80,784,813.75 : x
  2. Step 2: Convert to fraction form
    52,810,962.75/80,784,813.75 = 80,784,813.75/x
  3. Step 3: Cross multiply
    52,810,962.75x = 80,784,813.75 × 80,784,813.75
  4. Step 4: Simplify right side
    52,810,962.75x = 6,526,186,132,622,189
  5. Step 5: Solve for x
    x = 6,526,186,132,622,189/52,810,962.75
  6. Step 6: Final answer
    x = 123,576,352.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.