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Finding the Third Proportional to 21,314,106 and 46,212,642

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Solution

The third proportional to 21,314,106 and 46,212,642 is: 100,196,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314,106 : 46,212,642 = 46,212,642 : x
  2. Step 2: Convert to fraction form
    21,314,106/46,212,642 = 46,212,642/x
  3. Step 3: Cross multiply
    21,314,106x = 46,212,642 × 46,212,642
  4. Step 4: Simplify right side
    21,314,106x = 2,135,608,280,620,164
  5. Step 5: Solve for x
    x = 2,135,608,280,620,164/21,314,106
  6. Step 6: Final answer
    x = 100,196,943.78

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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.