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Finding the Third Proportional to 349,822,874 and 765,544,708

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Solution

The third proportional to 349,822,874 and 765,544,708 is: 1,675,301,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,874 : 765,544,708 = 765,544,708 : x
  2. Step 2: Convert to fraction form
    349,822,874/765,544,708 = 765,544,708/x
  3. Step 3: Cross multiply
    349,822,874x = 765,544,708 × 765,544,708
  4. Step 4: Simplify right side
    349,822,874x = 586,058,699,946,805,248
  5. Step 5: Solve for x
    x = 586,058,699,946,805,248/349,822,874
  6. Step 6: Final answer
    x = 1,675,301,255.31

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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.