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Finding the Third Proportional to 367,759,416 and 548,449,944

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Solution

The third proportional to 367,759,416 and 548,449,944 is: 817,918,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,759,416 : 548,449,944 = 548,449,944 : x
  2. Step 2: Convert to fraction form
    367,759,416/548,449,944 = 548,449,944/x
  3. Step 3: Cross multiply
    367,759,416x = 548,449,944 × 548,449,944
  4. Step 4: Simplify right side
    367,759,416x = 300,797,341,073,603,136
  5. Step 5: Solve for x
    x = 300,797,341,073,603,136/367,759,416
  6. Step 6: Final answer
    x = 817,918,802.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.