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Finding the Third Proportional to 35,458,074 and 77,642,195.63

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Solution

The third proportional to 35,458,074 and 77,642,195.63 is: 170,012,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,458,074 : 77,642,195.63 = 77,642,195.63 : x
  2. Step 2: Convert to fraction form
    35,458,074/77,642,195.63 = 77,642,195.63/x
  3. Step 3: Cross multiply
    35,458,074x = 77,642,195.63 × 77,642,195.63
  4. Step 4: Simplify right side
    35,458,074x = 6,028,310,541,470,769
  5. Step 5: Solve for x
    x = 6,028,310,541,470,769/35,458,074
  6. Step 6: Final answer
    x = 170,012,351.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.