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Finding the Third Proportional to 349,822,878 and 765,544,716

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Solution

The third proportional to 349,822,878 and 765,544,716 is: 1,675,301,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,878 : 765,544,716 = 765,544,716 : x
  2. Step 2: Convert to fraction form
    349,822,878/765,544,716 = 765,544,716/x
  3. Step 3: Cross multiply
    349,822,878x = 765,544,716 × 765,544,716
  4. Step 4: Simplify right side
    349,822,878x = 586,058,712,195,520,640
  5. Step 5: Solve for x
    x = 586,058,712,195,520,640/349,822,878
  6. Step 6: Final answer
    x = 1,675,301,271.16

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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.