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Finding the Third Proportional to 4,678,025 and 6,997,998

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Solution

The third proportional to 4,678,025 and 6,997,998 is: 10,468,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,025 : 6,997,998 = 6,997,998 : x
  2. Step 2: Convert to fraction form
    4,678,025/6,997,998 = 6,997,998/x
  3. Step 3: Cross multiply
    4,678,025x = 6,997,998 × 6,997,998
  4. Step 4: Simplify right side
    4,678,025x = 48,971,976,008,004
  5. Step 5: Solve for x
    x = 48,971,976,008,004/4,678,025
  6. Step 6: Final answer
    x = 10,468,515.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.