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Finding the Third Proportional to 79,710,202,776 and 175,667,883,884.25

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Solution

The third proportional to 79,710,202,776 and 175,667,883,884.25 is: 387,142,478,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,710,202,776 : 175,667,883,884.25 = 175,667,883,884.25 : x
  2. Step 2: Convert to fraction form
    79,710,202,776/175,667,883,884.25 = 175,667,883,884.25/x
  3. Step 3: Cross multiply
    79,710,202,776x = 175,667,883,884.25 × 175,667,883,884.25
  4. Step 4: Simplify right side
    79,710,202,776x = 30,859,205,428,370,340,839,424
  5. Step 5: Solve for x
    x = 30,859,205,428,370,340,839,424/79,710,202,776
  6. Step 6: Final answer
    x = 387,142,478,047.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.