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Finding the Third Proportional to 77,110,566 and 102,802,617

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Solution

The third proportional to 77,110,566 and 102,802,617 is: 137,054,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110,566 : 102,802,617 = 102,802,617 : x
  2. Step 2: Convert to fraction form
    77,110,566/102,802,617 = 102,802,617/x
  3. Step 3: Cross multiply
    77,110,566x = 102,802,617 × 102,802,617
  4. Step 4: Simplify right side
    77,110,566x = 10,568,378,062,048,688
  5. Step 5: Solve for x
    x = 10,568,378,062,048,688/77,110,566
  6. Step 6: Final answer
    x = 137,054,863.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.