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Finding the Third Proportional to 46,320,786 and 61,754,020

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Solution

The third proportional to 46,320,786 and 61,754,020 is: 82,329,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,320,786 : 61,754,020 = 61,754,020 : x
  2. Step 2: Convert to fraction form
    46,320,786/61,754,020 = 61,754,020/x
  3. Step 3: Cross multiply
    46,320,786x = 61,754,020 × 61,754,020
  4. Step 4: Simplify right side
    46,320,786x = 3,813,558,986,160,400
  5. Step 5: Solve for x
    x = 3,813,558,986,160,400/46,320,786
  6. Step 6: Final answer
    x = 82,329,323.73

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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.