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Finding the Third Proportional to 35,715,534 and 77,519,676

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Solution

The third proportional to 35,715,534 and 77,519,676 is: 168,254,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,534 : 77,519,676 = 77,519,676 : x
  2. Step 2: Convert to fraction form
    35,715,534/77,519,676 = 77,519,676/x
  3. Step 3: Cross multiply
    35,715,534x = 77,519,676 × 77,519,676
  4. Step 4: Simplify right side
    35,715,534x = 6,009,300,167,144,976
  5. Step 5: Solve for x
    x = 6,009,300,167,144,976/35,715,534
  6. Step 6: Final answer
    x = 168,254,523.85

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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.