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Finding the Third Proportional to 21,804,785,746 and 47,330,945,540

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Solution

The third proportional to 21,804,785,746 and 47,330,945,540 is: 102,739,757,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804,785,746 : 47,330,945,540 = 47,330,945,540 : x
  2. Step 2: Convert to fraction form
    21,804,785,746/47,330,945,540 = 47,330,945,540/x
  3. Step 3: Cross multiply
    21,804,785,746x = 47,330,945,540 × 47,330,945,540
  4. Step 4: Simplify right side
    21,804,785,746x = 2,240,218,405,710,445,936,640
  5. Step 5: Solve for x
    x = 2,240,218,405,710,445,936,640/21,804,785,746
  6. Step 6: Final answer
    x = 102,739,757,767.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.