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Finding the Third Proportional to 36,566,264 and 75,966,862

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Solution

The third proportional to 36,566,264 and 75,966,862 is: 157,822,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566,264 : 75,966,862 = 75,966,862 : x
  2. Step 2: Convert to fraction form
    36,566,264/75,966,862 = 75,966,862/x
  3. Step 3: Cross multiply
    36,566,264x = 75,966,862 × 75,966,862
  4. Step 4: Simplify right side
    36,566,264x = 5,770,964,122,127,044
  5. Step 5: Solve for x
    x = 5,770,964,122,127,044/36,566,264
  6. Step 6: Final answer
    x = 157,822,087.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.