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Finding the Third Proportional to 4,677,669 and 6,997,387.50

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Solution

The third proportional to 4,677,669 and 6,997,387.50 is: 10,467,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,669 : 6,997,387.50 = 6,997,387.50 : x
  2. Step 2: Convert to fraction form
    4,677,669/6,997,387.50 = 6,997,387.50/x
  3. Step 3: Cross multiply
    4,677,669x = 6,997,387.50 × 6,997,387.50
  4. Step 4: Simplify right side
    4,677,669x = 48,963,431,825,156.25
  5. Step 5: Solve for x
    x = 48,963,431,825,156.25/4,677,669
  6. Step 6: Final answer
    x = 10,467,485.37

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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.