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Finding the Third Proportional to 3,141,758,698 and 4,685,393,082

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Solution

The third proportional to 3,141,758,698 and 4,685,393,082 is: 6,987,458,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,758,698 : 4,685,393,082 = 4,685,393,082 : x
  2. Step 2: Convert to fraction form
    3,141,758,698/4,685,393,082 = 4,685,393,082/x
  3. Step 3: Cross multiply
    3,141,758,698x = 4,685,393,082 × 4,685,393,082
  4. Step 4: Simplify right side
    3,141,758,698x = 21,952,908,332,853,456,896
  5. Step 5: Solve for x
    x = 21,952,908,332,853,456,896/3,141,758,698
  6. Step 6: Final answer
    x = 6,987,458,440.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.