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Finding the Third Proportional to 5,200,488 and 8,003,713

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Solution

The third proportional to 5,200,488 and 8,003,713 is: 12,317,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,488 : 8,003,713 = 8,003,713 : x
  2. Step 2: Convert to fraction form
    5,200,488/8,003,713 = 8,003,713/x
  3. Step 3: Cross multiply
    5,200,488x = 8,003,713 × 8,003,713
  4. Step 4: Simplify right side
    5,200,488x = 64,059,421,786,369
  5. Step 5: Solve for x
    x = 64,059,421,786,369/5,200,488
  6. Step 6: Final answer
    x = 12,317,963.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.