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Finding the Third Proportional to 21,284,226 and 32,457,759

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Solution

The third proportional to 21,284,226 and 32,457,759 is: 49,497,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284,226 : 32,457,759 = 32,457,759 : x
  2. Step 2: Convert to fraction form
    21,284,226/32,457,759 = 32,457,759/x
  3. Step 3: Cross multiply
    21,284,226x = 32,457,759 × 32,457,759
  4. Step 4: Simplify right side
    21,284,226x = 1,053,506,119,302,081
  5. Step 5: Solve for x
    x = 1,053,506,119,302,081/21,284,226
  6. Step 6: Final answer
    x = 49,497,036.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.