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Finding the Third Proportional to 6,513,877.50 and 8,684,184

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Solution

The third proportional to 6,513,877.50 and 8,684,184 is: 11,577,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,877.50 : 8,684,184 = 8,684,184 : x
  2. Step 2: Convert to fraction form
    6,513,877.50/8,684,184 = 8,684,184/x
  3. Step 3: Cross multiply
    6,513,877.50x = 8,684,184 × 8,684,184
  4. Step 4: Simplify right side
    6,513,877.50x = 75,415,051,745,856
  5. Step 5: Solve for x
    x = 75,415,051,745,856/6,513,877.50
  6. Step 6: Final answer
    x = 11,577,597.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.