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Finding the Third Proportional to 10,581,714 and 15,831,420

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Solution

The third proportional to 10,581,714 and 15,831,420 is: 23,685,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581,714 : 15,831,420 = 15,831,420 : x
  2. Step 2: Convert to fraction form
    10,581,714/15,831,420 = 15,831,420/x
  3. Step 3: Cross multiply
    10,581,714x = 15,831,420 × 15,831,420
  4. Step 4: Simplify right side
    10,581,714x = 250,633,859,216,400
  5. Step 5: Solve for x
    x = 250,633,859,216,400/10,581,714
  6. Step 6: Final answer
    x = 23,685,563.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.