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Finding the Third Proportional to 9,283,434 and 19,937,928

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Solution

The third proportional to 9,283,434 and 19,937,928 is: 42,820,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283,434 : 19,937,928 = 19,937,928 : x
  2. Step 2: Convert to fraction form
    9,283,434/19,937,928 = 19,937,928/x
  3. Step 3: Cross multiply
    9,283,434x = 19,937,928 × 19,937,928
  4. Step 4: Simplify right side
    9,283,434x = 397,520,972,933,184
  5. Step 5: Solve for x
    x = 397,520,972,933,184/9,283,434
  6. Step 6: Final answer
    x = 42,820,466.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.