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Finding the Third Proportional to 14,449,646 and 19,814,409

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Solution

The third proportional to 14,449,646 and 19,814,409 is: 27,170,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449,646 : 19,814,409 = 19,814,409 : x
  2. Step 2: Convert to fraction form
    14,449,646/19,814,409 = 19,814,409/x
  3. Step 3: Cross multiply
    14,449,646x = 19,814,409 × 19,814,409
  4. Step 4: Simplify right side
    14,449,646x = 392,610,804,019,281
  5. Step 5: Solve for x
    x = 392,610,804,019,281/14,449,646
  6. Step 6: Final answer
    x = 27,170,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.