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Finding the Third Proportional to 35,794,996 and 77,561,960

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Solution

The third proportional to 35,794,996 and 77,561,960 is: 168,064,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794,996 : 77,561,960 = 77,561,960 : x
  2. Step 2: Convert to fraction form
    35,794,996/77,561,960 = 77,561,960/x
  3. Step 3: Cross multiply
    35,794,996x = 77,561,960 × 77,561,960
  4. Step 4: Simplify right side
    35,794,996x = 6,015,857,639,041,600
  5. Step 5: Solve for x
    x = 6,015,857,639,041,600/35,794,996
  6. Step 6: Final answer
    x = 168,064,207.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.