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Finding the Third Proportional to 19,896,016 and 43,974,224

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Solution

The third proportional to 19,896,016 and 43,974,224 is: 97,191,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896,016 : 43,974,224 = 43,974,224 : x
  2. Step 2: Convert to fraction form
    19,896,016/43,974,224 = 43,974,224/x
  3. Step 3: Cross multiply
    19,896,016x = 43,974,224 × 43,974,224
  4. Step 4: Simplify right side
    19,896,016x = 1,933,732,376,402,176
  5. Step 5: Solve for x
    x = 1,933,732,376,402,176/19,896,016
  6. Step 6: Final answer
    x = 97,191,939.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.