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Finding the Third Proportional to 10,087,272 and 21,889,224

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Solution

The third proportional to 10,087,272 and 21,889,224 is: 47,499,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087,272 : 21,889,224 = 21,889,224 : x
  2. Step 2: Convert to fraction form
    10,087,272/21,889,224 = 21,889,224/x
  3. Step 3: Cross multiply
    10,087,272x = 21,889,224 × 21,889,224
  4. Step 4: Simplify right side
    10,087,272x = 479,138,127,322,176
  5. Step 5: Solve for x
    x = 479,138,127,322,176/10,087,272
  6. Step 6: Final answer
    x = 47,499,277.04

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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.