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Finding the Third Proportional to 5,714,320.50 and 7,781,782.50

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Solution

The third proportional to 5,714,320.50 and 7,781,782.50 is: 10,597,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,320.50 : 7,781,782.50 = 7,781,782.50 : x
  2. Step 2: Convert to fraction form
    5,714,320.50/7,781,782.50 = 7,781,782.50/x
  3. Step 3: Cross multiply
    5,714,320.50x = 7,781,782.50 × 7,781,782.50
  4. Step 4: Simplify right side
    5,714,320.50x = 60,556,138,877,306.25
  5. Step 5: Solve for x
    x = 60,556,138,877,306.25/5,714,320.50
  6. Step 6: Final answer
    x = 10,597,259.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.