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Finding the Third Proportional to 52,500,798 and 82,170,693

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Solution

The third proportional to 52,500,798 and 82,170,693 is: 128,608,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500,798 : 82,170,693 = 82,170,693 : x
  2. Step 2: Convert to fraction form
    52,500,798/82,170,693 = 82,170,693/x
  3. Step 3: Cross multiply
    52,500,798x = 82,170,693 × 82,170,693
  4. Step 4: Simplify right side
    52,500,798x = 6,752,022,788,100,249
  5. Step 5: Solve for x
    x = 6,752,022,788,100,249/52,500,798
  6. Step 6: Final answer
    x = 128,608,003.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.