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Finding the Third Proportional to 349,822,856 and 765,544,672

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Solution

The third proportional to 349,822,856 and 765,544,672 is: 1,675,301,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,856 : 765,544,672 = 765,544,672 : x
  2. Step 2: Convert to fraction form
    349,822,856/765,544,672 = 765,544,672/x
  3. Step 3: Cross multiply
    349,822,856x = 765,544,672 × 765,544,672
  4. Step 4: Simplify right side
    349,822,856x = 586,058,644,827,587,584
  5. Step 5: Solve for x
    x = 586,058,644,827,587,584/349,822,856
  6. Step 6: Final answer
    x = 1,675,301,183.94

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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.