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Finding the Third Proportional to 4,942,080 and 10,828,928

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Solution

The third proportional to 4,942,080 and 10,828,928 is: 23,728,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,080 : 10,828,928 = 10,828,928 : x
  2. Step 2: Convert to fraction form
    4,942,080/10,828,928 = 10,828,928/x
  3. Step 3: Cross multiply
    4,942,080x = 10,828,928 × 10,828,928
  4. Step 4: Simplify right side
    4,942,080x = 117,265,681,629,184
  5. Step 5: Solve for x
    x = 117,265,681,629,184/4,942,080
  6. Step 6: Final answer
    x = 23,728,001.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.