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Finding the Third Proportional to 682,051,448 and 1,478,804,566

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Solution

The third proportional to 682,051,448 and 1,478,804,566 is: 3,206,302,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,051,448 : 1,478,804,566 = 1,478,804,566 : x
  2. Step 2: Convert to fraction form
    682,051,448/1,478,804,566 = 1,478,804,566/x
  3. Step 3: Cross multiply
    682,051,448x = 1,478,804,566 × 1,478,804,566
  4. Step 4: Simplify right side
    682,051,448x = 2,186,862,944,422,448,384
  5. Step 5: Solve for x
    x = 2,186,862,944,422,448,384/682,051,448
  6. Step 6: Final answer
    x = 3,206,302,033.13

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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.