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Finding the Third Proportional to 10,772,846 and 17,150,033

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Solution

The third proportional to 10,772,846 and 17,150,033 is: 27,302,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,846 : 17,150,033 = 17,150,033 : x
  2. Step 2: Convert to fraction form
    10,772,846/17,150,033 = 17,150,033/x
  3. Step 3: Cross multiply
    10,772,846x = 17,150,033 × 17,150,033
  4. Step 4: Simplify right side
    10,772,846x = 294,123,631,901,089
  5. Step 5: Solve for x
    x = 294,123,631,901,089/10,772,846
  6. Step 6: Final answer
    x = 27,302,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.