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Finding the Third Proportional to 4,865,784.75 and 6,844,336.50

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Solution

The third proportional to 4,865,784.75 and 6,844,336.50 is: 9,627,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,784.75 : 6,844,336.50 = 6,844,336.50 : x
  2. Step 2: Convert to fraction form
    4,865,784.75/6,844,336.50 = 6,844,336.50/x
  3. Step 3: Cross multiply
    4,865,784.75x = 6,844,336.50 × 6,844,336.50
  4. Step 4: Simplify right side
    4,865,784.75x = 46,844,942,125,232.25
  5. Step 5: Solve for x
    x = 46,844,942,125,232.25/4,865,784.75
  6. Step 6: Final answer
    x = 9,627,417.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.