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Finding the Third Proportional to 4,726,206 and 10,124,914

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Solution

The third proportional to 4,726,206 and 10,124,914 is: 21,690,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726,206 : 10,124,914 = 10,124,914 : x
  2. Step 2: Convert to fraction form
    4,726,206/10,124,914 = 10,124,914/x
  3. Step 3: Cross multiply
    4,726,206x = 10,124,914 × 10,124,914
  4. Step 4: Simplify right side
    4,726,206x = 102,513,883,507,396
  5. Step 5: Solve for x
    x = 102,513,883,507,396/4,726,206
  6. Step 6: Final answer
    x = 21,690,523.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.