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Finding the Third Proportional to 3,055,828 and 6,475,928

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Solution

The third proportional to 3,055,828 and 6,475,928 is: 13,723,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,828 : 6,475,928 = 6,475,928 : x
  2. Step 2: Convert to fraction form
    3,055,828/6,475,928 = 6,475,928/x
  3. Step 3: Cross multiply
    3,055,828x = 6,475,928 × 6,475,928
  4. Step 4: Simplify right side
    3,055,828x = 41,937,643,461,184
  5. Step 5: Solve for x
    x = 41,937,643,461,184/3,055,828
  6. Step 6: Final answer
    x = 13,723,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.