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Finding the Third Proportional to 21,488,993 and 46,381,062

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Solution

The third proportional to 21,488,993 and 46,381,062 is: 100,107,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488,993 : 46,381,062 = 46,381,062 : x
  2. Step 2: Convert to fraction form
    21,488,993/46,381,062 = 46,381,062/x
  3. Step 3: Cross multiply
    21,488,993x = 46,381,062 × 46,381,062
  4. Step 4: Simplify right side
    21,488,993x = 2,151,202,912,247,844
  5. Step 5: Solve for x
    x = 2,151,202,912,247,844/21,488,993
  6. Step 6: Final answer
    x = 100,107,199.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.