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Finding the Third Proportional to 35,407,275.75 and 76,195,398.38

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Solution

The third proportional to 35,407,275.75 and 76,195,398.38 is: 163,970,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407,275.75 : 76,195,398.38 = 76,195,398.38 : x
  2. Step 2: Convert to fraction form
    35,407,275.75/76,195,398.38 = 76,195,398.38/x
  3. Step 3: Cross multiply
    35,407,275.75x = 76,195,398.38 × 76,195,398.38
  4. Step 4: Simplify right side
    35,407,275.75x = 5,805,738,733,524,953
  5. Step 5: Solve for x
    x = 5,805,738,733,524,953/35,407,275.75
  6. Step 6: Final answer
    x = 163,970,218.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.