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Finding the Third Proportional to 1,270,355,337.75 and 2,751,759,180.75

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Solution

The third proportional to 1,270,355,337.75 and 2,751,759,180.75 is: 5,960,677,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,355,337.75 : 2,751,759,180.75 = 2,751,759,180.75 : x
  2. Step 2: Convert to fraction form
    1,270,355,337.75/2,751,759,180.75 = 2,751,759,180.75/x
  3. Step 3: Cross multiply
    1,270,355,337.75x = 2,751,759,180.75 × 2,751,759,180.75
  4. Step 4: Simplify right side
    1,270,355,337.75x = 7,572,178,588,841,911,296
  5. Step 5: Solve for x
    x = 7,572,178,588,841,911,296/1,270,355,337.75
  6. Step 6: Final answer
    x = 5,960,677,586.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.