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Finding the Third Proportional to 7,652,667 and 16,798,143

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Solution

The third proportional to 7,652,667 and 16,798,143 is: 36,873,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,667 : 16,798,143 = 16,798,143 : x
  2. Step 2: Convert to fraction form
    7,652,667/16,798,143 = 16,798,143/x
  3. Step 3: Cross multiply
    7,652,667x = 16,798,143 × 16,798,143
  4. Step 4: Simplify right side
    7,652,667x = 282,177,608,248,449
  5. Step 5: Solve for x
    x = 282,177,608,248,449/7,652,667
  6. Step 6: Final answer
    x = 36,873,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.