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Finding the Third Proportional to 35,986,359 and 77,706,987.25

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Solution

The third proportional to 35,986,359 and 77,706,987.25 is: 167,796,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,359 : 77,706,987.25 = 77,706,987.25 : x
  2. Step 2: Convert to fraction form
    35,986,359/77,706,987.25 = 77,706,987.25/x
  3. Step 3: Cross multiply
    35,986,359x = 77,706,987.25 × 77,706,987.25
  4. Step 4: Simplify right side
    35,986,359x = 6,038,375,867,471,663
  5. Step 5: Solve for x
    x = 6,038,375,867,471,663/35,986,359
  6. Step 6: Final answer
    x = 167,796,243.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.