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Finding the Third Proportional to 4,847,043.16 and 7,505,316.98

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Solution

The third proportional to 4,847,043.16 and 7,505,316.98 is: 11,621,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847,043.16 : 7,505,316.98 = 7,505,316.98 : x
  2. Step 2: Convert to fraction form
    4,847,043.16/7,505,316.98 = 7,505,316.98/x
  3. Step 3: Cross multiply
    4,847,043.16x = 7,505,316.98 × 7,505,316.98
  4. Step 4: Simplify right side
    4,847,043.16x = 56,329,783,035,947.84
  5. Step 5: Solve for x
    x = 56,329,783,035,947.84/4,847,043.16
  6. Step 6: Final answer
    x = 11,621,473.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.