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Finding the Third Proportional to 7,836,536.50 and 12,104,176.50

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Solution

The third proportional to 7,836,536.50 and 12,104,176.50 is: 18,695,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,536.50 : 12,104,176.50 = 12,104,176.50 : x
  2. Step 2: Convert to fraction form
    7,836,536.50/12,104,176.50 = 12,104,176.50/x
  3. Step 3: Cross multiply
    7,836,536.50x = 12,104,176.50 × 12,104,176.50
  4. Step 4: Simplify right side
    7,836,536.50x = 146,511,088,743,152.25
  5. Step 5: Solve for x
    x = 146,511,088,743,152.25/7,836,536.50
  6. Step 6: Final answer
    x = 18,695,898.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.