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Finding the Third Proportional to 4,382,509.50 and 6,549,232.50

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Solution

The third proportional to 4,382,509.50 and 6,549,232.50 is: 9,787,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382,509.50 : 6,549,232.50 = 6,549,232.50 : x
  2. Step 2: Convert to fraction form
    4,382,509.50/6,549,232.50 = 6,549,232.50/x
  3. Step 3: Cross multiply
    4,382,509.50x = 6,549,232.50 × 6,549,232.50
  4. Step 4: Simplify right side
    4,382,509.50x = 42,892,446,339,056.25
  5. Step 5: Solve for x
    x = 42,892,446,339,056.25/4,382,509.50
  6. Step 6: Final answer
    x = 9,787,188.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.