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Finding the Third Proportional to 344,574,180 and 756,098,991

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Solution

The third proportional to 344,574,180 and 756,098,991 is: 1,659,107,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,180 : 756,098,991 = 756,098,991 : x
  2. Step 2: Convert to fraction form
    344,574,180/756,098,991 = 756,098,991/x
  3. Step 3: Cross multiply
    344,574,180x = 756,098,991 × 756,098,991
  4. Step 4: Simplify right side
    344,574,180x = 571,685,684,191,218,112
  5. Step 5: Solve for x
    x = 571,685,684,191,218,112/344,574,180
  6. Step 6: Final answer
    x = 1,659,107,725.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.