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Finding the Third Proportional to 2,514,489.75 and 5,430,739.50

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Solution

The third proportional to 2,514,489.75 and 5,430,739.50 is: 11,729,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,489.75 : 5,430,739.50 = 5,430,739.50 : x
  2. Step 2: Convert to fraction form
    2,514,489.75/5,430,739.50 = 5,430,739.50/x
  3. Step 3: Cross multiply
    2,514,489.75x = 5,430,739.50 × 5,430,739.50
  4. Step 4: Simplify right side
    2,514,489.75x = 29,492,931,516,860.25
  5. Step 5: Solve for x
    x = 29,492,931,516,860.25/2,514,489.75
  6. Step 6: Final answer
    x = 11,729,191.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.