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Finding the Third Proportional to 7,884,811.50 and 11,527,870.50

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Solution

The third proportional to 7,884,811.50 and 11,527,870.50 is: 16,854,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,811.50 : 11,527,870.50 = 11,527,870.50 : x
  2. Step 2: Convert to fraction form
    7,884,811.50/11,527,870.50 = 11,527,870.50/x
  3. Step 3: Cross multiply
    7,884,811.50x = 11,527,870.50 × 11,527,870.50
  4. Step 4: Simplify right side
    7,884,811.50x = 132,891,798,264,770.25
  5. Step 5: Solve for x
    x = 132,891,798,264,770.25/7,884,811.50
  6. Step 6: Final answer
    x = 16,854,150.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.