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Finding the Third Proportional to 2,161,750,251 and 4,719,889,878

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Solution

The third proportional to 2,161,750,251 and 4,719,889,878 is: 10,305,242,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,750,251 : 4,719,889,878 = 4,719,889,878 : x
  2. Step 2: Convert to fraction form
    2,161,750,251/4,719,889,878 = 4,719,889,878/x
  3. Step 3: Cross multiply
    2,161,750,251x = 4,719,889,878 × 4,719,889,878
  4. Step 4: Simplify right side
    2,161,750,251x = 22,277,360,460,446,855,168
  5. Step 5: Solve for x
    x = 22,277,360,460,446,855,168/2,161,750,251
  6. Step 6: Final answer
    x = 10,305,242,453.49

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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.