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Finding the Third Proportional to 8,242,816 and 10,865,088

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Solution

The third proportional to 8,242,816 and 10,865,088 is: 14,321,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,816 : 10,865,088 = 10,865,088 : x
  2. Step 2: Convert to fraction form
    8,242,816/10,865,088 = 10,865,088/x
  3. Step 3: Cross multiply
    8,242,816x = 10,865,088 × 10,865,088
  4. Step 4: Simplify right side
    8,242,816x = 118,050,137,247,744
  5. Step 5: Solve for x
    x = 118,050,137,247,744/8,242,816
  6. Step 6: Final answer
    x = 14,321,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.