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Finding the Third Proportional to 807,656,853 and 1,756,823,544

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Solution

The third proportional to 807,656,853 and 1,756,823,544 is: 3,821,460,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,656,853 : 1,756,823,544 = 1,756,823,544 : x
  2. Step 2: Convert to fraction form
    807,656,853/1,756,823,544 = 1,756,823,544/x
  3. Step 3: Cross multiply
    807,656,853x = 1,756,823,544 × 1,756,823,544
  4. Step 4: Simplify right side
    807,656,853x = 3,086,428,964,752,719,872
  5. Step 5: Solve for x
    x = 3,086,428,964,752,719,872/807,656,853
  6. Step 6: Final answer
    x = 3,821,460,751.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.