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Finding the Third Proportional to 11,730,907.50 and 24,534,367.50

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Solution

The third proportional to 11,730,907.50 and 24,534,367.50 is: 51,311,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730,907.50 : 24,534,367.50 = 24,534,367.50 : x
  2. Step 2: Convert to fraction form
    11,730,907.50/24,534,367.50 = 24,534,367.50/x
  3. Step 3: Cross multiply
    11,730,907.50x = 24,534,367.50 × 24,534,367.50
  4. Step 4: Simplify right side
    11,730,907.50x = 601,935,188,625,056.25
  5. Step 5: Solve for x
    x = 601,935,188,625,056.25/11,730,907.50
  6. Step 6: Final answer
    x = 51,311,903.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.