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Finding the Third Proportional to 10,028,621 and 15,278,011.50

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Solution

The third proportional to 10,028,621 and 15,278,011.50 is: 23,275,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,621 : 15,278,011.50 = 15,278,011.50 : x
  2. Step 2: Convert to fraction form
    10,028,621/15,278,011.50 = 15,278,011.50/x
  3. Step 3: Cross multiply
    10,028,621x = 15,278,011.50 × 15,278,011.50
  4. Step 4: Simplify right side
    10,028,621x = 233,417,635,394,132.25
  5. Step 5: Solve for x
    x = 233,417,635,394,132.25/10,028,621
  6. Step 6: Final answer
    x = 23,275,147.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.