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Finding the Third Proportional to 10,772,900.02 and 17,150,100.89

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Solution

The third proportional to 10,772,900.02 and 17,150,100.89 is: 27,302,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,900.02 : 17,150,100.89 = 17,150,100.89 : x
  2. Step 2: Convert to fraction form
    10,772,900.02/17,150,100.89 = 17,150,100.89/x
  3. Step 3: Cross multiply
    10,772,900.02x = 17,150,100.89 × 17,150,100.89
  4. Step 4: Simplify right side
    10,772,900.02x = 294,125,960,558,616.44
  5. Step 5: Solve for x
    x = 294,125,960,558,616.44/10,772,900.02
  6. Step 6: Final answer
    x = 27,302,393.98

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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.