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Finding the Third Proportional to 5,406,759 and 7,559,014.50

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Solution

The third proportional to 5,406,759 and 7,559,014.50 is: 10,568,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406,759 : 7,559,014.50 = 7,559,014.50 : x
  2. Step 2: Convert to fraction form
    5,406,759/7,559,014.50 = 7,559,014.50/x
  3. Step 3: Cross multiply
    5,406,759x = 7,559,014.50 × 7,559,014.50
  4. Step 4: Simplify right side
    5,406,759x = 57,138,700,211,210.25
  5. Step 5: Solve for x
    x = 57,138,700,211,210.25/5,406,759
  6. Step 6: Final answer
    x = 10,568,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.