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Finding the Third Proportional to 7,587,648 and 11,570,562

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Solution

The third proportional to 7,587,648 and 11,570,562 is: 17,644,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587,648 : 11,570,562 = 11,570,562 : x
  2. Step 2: Convert to fraction form
    7,587,648/11,570,562 = 11,570,562/x
  3. Step 3: Cross multiply
    7,587,648x = 11,570,562 × 11,570,562
  4. Step 4: Simplify right side
    7,587,648x = 133,877,904,995,844
  5. Step 5: Solve for x
    x = 133,877,904,995,844/7,587,648
  6. Step 6: Final answer
    x = 17,644,190.27

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Why These Related Problems?

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