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Finding the Third Proportional to 15,714,477 and 24,244,597.50

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Solution

The third proportional to 15,714,477 and 24,244,597.50 is: 37,405,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714,477 : 24,244,597.50 = 24,244,597.50 : x
  2. Step 2: Convert to fraction form
    15,714,477/24,244,597.50 = 24,244,597.50/x
  3. Step 3: Cross multiply
    15,714,477x = 24,244,597.50 × 24,244,597.50
  4. Step 4: Simplify right side
    15,714,477x = 587,800,507,937,006.25
  5. Step 5: Solve for x
    x = 587,800,507,937,006.25/15,714,477
  6. Step 6: Final answer
    x = 37,405,031.55

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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.