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Finding the Third Proportional to 4,775,814 and 7,349,539.50

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Solution

The third proportional to 4,775,814 and 7,349,539.50 is: 11,310,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,814 : 7,349,539.50 = 7,349,539.50 : x
  2. Step 2: Convert to fraction form
    4,775,814/7,349,539.50 = 7,349,539.50/x
  3. Step 3: Cross multiply
    4,775,814x = 7,349,539.50 × 7,349,539.50
  4. Step 4: Simplify right side
    4,775,814x = 54,015,730,862,060.25
  5. Step 5: Solve for x
    x = 54,015,730,862,060.25/4,775,814
  6. Step 6: Final answer
    x = 11,310,266.87

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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.