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Finding the Third Proportional to 349,822,848 and 765,544,656

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Solution

The third proportional to 349,822,848 and 765,544,656 is: 1,675,301,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,848 : 765,544,656 = 765,544,656 : x
  2. Step 2: Convert to fraction form
    349,822,848/765,544,656 = 765,544,656/x
  3. Step 3: Cross multiply
    349,822,848x = 765,544,656 × 765,544,656
  4. Step 4: Simplify right side
    349,822,848x = 586,058,620,330,158,336
  5. Step 5: Solve for x
    x = 586,058,620,330,158,336/349,822,848
  6. Step 6: Final answer
    x = 1,675,301,152.23

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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.