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Finding the Third Proportional to 5,248,154 and 8,569,763

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Solution

The third proportional to 5,248,154 and 8,569,763 is: 13,993,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,154 : 8,569,763 = 8,569,763 : x
  2. Step 2: Convert to fraction form
    5,248,154/8,569,763 = 8,569,763/x
  3. Step 3: Cross multiply
    5,248,154x = 8,569,763 × 8,569,763
  4. Step 4: Simplify right side
    5,248,154x = 73,440,837,876,169
  5. Step 5: Solve for x
    x = 73,440,837,876,169/5,248,154
  6. Step 6: Final answer
    x = 13,993,651.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.