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Finding the Third Proportional to 6,095,557.50 and 8,302,432.50

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Solution

The third proportional to 6,095,557.50 and 8,302,432.50 is: 11,308,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,557.50 : 8,302,432.50 = 8,302,432.50 : x
  2. Step 2: Convert to fraction form
    6,095,557.50/8,302,432.50 = 8,302,432.50/x
  3. Step 3: Cross multiply
    6,095,557.50x = 8,302,432.50 × 8,302,432.50
  4. Step 4: Simplify right side
    6,095,557.50x = 68,930,385,417,056.25
  5. Step 5: Solve for x
    x = 68,930,385,417,056.25/6,095,557.50
  6. Step 6: Final answer
    x = 11,308,298.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.