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Finding the Third Proportional to 2,569,968 and 5,714,381.25

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Solution

The third proportional to 2,569,968 and 5,714,381.25 is: 12,706,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,968 : 5,714,381.25 = 5,714,381.25 : x
  2. Step 2: Convert to fraction form
    2,569,968/5,714,381.25 = 5,714,381.25/x
  3. Step 3: Cross multiply
    2,569,968x = 5,714,381.25 × 5,714,381.25
  4. Step 4: Simplify right side
    2,569,968x = 32,654,153,070,351.56
  5. Step 5: Solve for x
    x = 32,654,153,070,351.56/2,569,968
  6. Step 6: Final answer
    x = 12,706,054.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.