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Finding the Third Proportional to 243,228,842 and 376,937,738

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Solution

The third proportional to 243,228,842 and 376,937,738 is: 584,149,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,228,842 : 376,937,738 = 376,937,738 : x
  2. Step 2: Convert to fraction form
    243,228,842/376,937,738 = 376,937,738/x
  3. Step 3: Cross multiply
    243,228,842x = 376,937,738 × 376,937,738
  4. Step 4: Simplify right side
    243,228,842x = 142,082,058,328,556,640
  5. Step 5: Solve for x
    x = 142,082,058,328,556,640/243,228,842
  6. Step 6: Final answer
    x = 584,149,713.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.