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Finding the Third Proportional to 3,973,782 and 8,582,748

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Solution

The third proportional to 3,973,782 and 8,582,748 is: 18,537,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973,782 : 8,582,748 = 8,582,748 : x
  2. Step 2: Convert to fraction form
    3,973,782/8,582,748 = 8,582,748/x
  3. Step 3: Cross multiply
    3,973,782x = 8,582,748 × 8,582,748
  4. Step 4: Simplify right side
    3,973,782x = 73,663,563,231,504
  5. Step 5: Solve for x
    x = 73,663,563,231,504/3,973,782
  6. Step 6: Final answer
    x = 18,537,394.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.