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Finding the Third Proportional to 70,649,695,667 and 143,375,396,710

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Solution

The third proportional to 70,649,695,667 and 143,375,396,710 is: 290,963,806,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,649,695,667 : 143,375,396,710 = 143,375,396,710 : x
  2. Step 2: Convert to fraction form
    70,649,695,667/143,375,396,710 = 143,375,396,710/x
  3. Step 3: Cross multiply
    70,649,695,667x = 143,375,396,710 × 143,375,396,710
  4. Step 4: Simplify right side
    70,649,695,667x = 20,556,504,381,749,880,422,400
  5. Step 5: Solve for x
    x = 20,556,504,381,749,880,422,400/70,649,695,667
  6. Step 6: Final answer
    x = 290,963,806,534.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.