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Finding the Third Proportional to 124,719,393,440 and 291,021,975,812

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Solution

The third proportional to 124,719,393,440 and 291,021,975,812 is: 679,074,745,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,719,393,440 : 291,021,975,812 = 291,021,975,812 : x
  2. Step 2: Convert to fraction form
    124,719,393,440/291,021,975,812 = 291,021,975,812/x
  3. Step 3: Cross multiply
    124,719,393,440x = 291,021,975,812 × 291,021,975,812
  4. Step 4: Simplify right side
    124,719,393,440x = 84,693,790,405,520,313,548,800
  5. Step 5: Solve for x
    x = 84,693,790,405,520,313,548,800/124,719,393,440
  6. Step 6: Final answer
    x = 679,074,745,871.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.