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Finding the Third Proportional to 21,695,102 and 32,822,577

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Solution

The third proportional to 21,695,102 and 32,822,577 is: 49,657,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695,102 : 32,822,577 = 32,822,577 : x
  2. Step 2: Convert to fraction form
    21,695,102/32,822,577 = 32,822,577/x
  3. Step 3: Cross multiply
    21,695,102x = 32,822,577 × 32,822,577
  4. Step 4: Simplify right side
    21,695,102x = 1,077,321,560,920,929
  5. Step 5: Solve for x
    x = 1,077,321,560,920,929/21,695,102
  6. Step 6: Final answer
    x = 49,657,363.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.