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Finding the Third Proportional to 4,197,724.50 and 6,482,101

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Solution

The third proportional to 4,197,724.50 and 6,482,101 is: 10,009,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,724.50 : 6,482,101 = 6,482,101 : x
  2. Step 2: Convert to fraction form
    4,197,724.50/6,482,101 = 6,482,101/x
  3. Step 3: Cross multiply
    4,197,724.50x = 6,482,101 × 6,482,101
  4. Step 4: Simplify right side
    4,197,724.50x = 42,017,633,374,201
  5. Step 5: Solve for x
    x = 42,017,633,374,201/4,197,724.50
  6. Step 6: Final answer
    x = 10,009,621.49

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Why These Related Problems?

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