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Finding the Third Proportional to 143,581,274 and 313,476,532

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Solution

The third proportional to 143,581,274 and 313,476,532 is: 684,403,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,581,274 : 313,476,532 = 313,476,532 : x
  2. Step 2: Convert to fraction form
    143,581,274/313,476,532 = 313,476,532/x
  3. Step 3: Cross multiply
    143,581,274x = 313,476,532 × 313,476,532
  4. Step 4: Simplify right side
    143,581,274x = 98,267,536,114,747,024
  5. Step 5: Solve for x
    x = 98,267,536,114,747,024/143,581,274
  6. Step 6: Final answer
    x = 684,403,567.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.