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Finding the Third Proportional to 14,405,850 and 21,974,643

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Solution

The third proportional to 14,405,850 and 21,974,643 is: 33,520,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,850 : 21,974,643 = 21,974,643 : x
  2. Step 2: Convert to fraction form
    14,405,850/21,974,643 = 21,974,643/x
  3. Step 3: Cross multiply
    14,405,850x = 21,974,643 × 21,974,643
  4. Step 4: Simplify right side
    14,405,850x = 482,884,934,977,449
  5. Step 5: Solve for x
    x = 482,884,934,977,449/14,405,850
  6. Step 6: Final answer
    x = 33,520,058.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.