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Finding the Third Proportional to 9,892,784 and 15,736,818

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Solution

The third proportional to 9,892,784 and 15,736,818 is: 25,033,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892,784 : 15,736,818 = 15,736,818 : x
  2. Step 2: Convert to fraction form
    9,892,784/15,736,818 = 15,736,818/x
  3. Step 3: Cross multiply
    9,892,784x = 15,736,818 × 15,736,818
  4. Step 4: Simplify right side
    9,892,784x = 247,647,440,765,124
  5. Step 5: Solve for x
    x = 247,647,440,765,124/9,892,784
  6. Step 6: Final answer
    x = 25,033,139.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.