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Finding the Third Proportional to 65,161,824 and 95,612,580

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Solution

The third proportional to 65,161,824 and 95,612,580 is: 140,293,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161,824 : 95,612,580 = 95,612,580 : x
  2. Step 2: Convert to fraction form
    65,161,824/95,612,580 = 95,612,580/x
  3. Step 3: Cross multiply
    65,161,824x = 95,612,580 × 95,612,580
  4. Step 4: Simplify right side
    65,161,824x = 9,141,765,454,256,400
  5. Step 5: Solve for x
    x = 9,141,765,454,256,400/65,161,824
  6. Step 6: Final answer
    x = 140,293,271.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.