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Finding the Third Proportional to 8,330,055.75 and 12,583,847.25

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Solution

The third proportional to 8,330,055.75 and 12,583,847.25 is: 19,009,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330,055.75 : 12,583,847.25 = 12,583,847.25 : x
  2. Step 2: Convert to fraction form
    8,330,055.75/12,583,847.25 = 12,583,847.25/x
  3. Step 3: Cross multiply
    8,330,055.75x = 12,583,847.25 × 12,583,847.25
  4. Step 4: Simplify right side
    8,330,055.75x = 158,353,211,611,332.56
  5. Step 5: Solve for x
    x = 158,353,211,611,332.56/8,330,055.75
  6. Step 6: Final answer
    x = 19,009,862.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.