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Finding the Third Proportional to 2,161,750,266 and 4,719,889,912

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Solution

The third proportional to 2,161,750,266 and 4,719,889,912 is: 10,305,242,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,750,266 : 4,719,889,912 = 4,719,889,912 : x
  2. Step 2: Convert to fraction form
    2,161,750,266/4,719,889,912 = 4,719,889,912/x
  3. Step 3: Cross multiply
    2,161,750,266x = 4,719,889,912 × 4,719,889,912
  4. Step 4: Simplify right side
    2,161,750,266x = 22,277,360,781,399,367,680
  5. Step 5: Solve for x
    x = 22,277,360,781,399,367,680/2,161,750,266
  6. Step 6: Final answer
    x = 10,305,242,530.45

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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.