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Finding the Third Proportional to 350,314,206.75 and 770,557,465.13

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Solution

The third proportional to 350,314,206.75 and 770,557,465.13 is: 1,694,932,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,314,206.75 : 770,557,465.13 = 770,557,465.13 : x
  2. Step 2: Convert to fraction form
    350,314,206.75/770,557,465.13 = 770,557,465.13/x
  3. Step 3: Cross multiply
    350,314,206.75x = 770,557,465.13 × 770,557,465.13
  4. Step 4: Simplify right side
    350,314,206.75x = 593,758,807,059,865,600
  5. Step 5: Solve for x
    x = 593,758,807,059,865,600/350,314,206.75
  6. Step 6: Final answer
    x = 1,694,932,136.98

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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.