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Finding the Third Proportional to 21,984,143 and 46,987,269

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Solution

The third proportional to 21,984,143 and 46,987,269 is: 100,427,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,143 : 46,987,269 = 46,987,269 : x
  2. Step 2: Convert to fraction form
    21,984,143/46,987,269 = 46,987,269/x
  3. Step 3: Cross multiply
    21,984,143x = 46,987,269 × 46,987,269
  4. Step 4: Simplify right side
    21,984,143x = 2,207,803,448,078,361
  5. Step 5: Solve for x
    x = 2,207,803,448,078,361/21,984,143
  6. Step 6: Final answer
    x = 100,427,087.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.