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Finding the Third Proportional to 9,982,926 and 15,334,995.94

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Solution

The third proportional to 9,982,926 and 15,334,995.94 is: 23,556,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,926 : 15,334,995.94 = 15,334,995.94 : x
  2. Step 2: Convert to fraction form
    9,982,926/15,334,995.94 = 15,334,995.94/x
  3. Step 3: Cross multiply
    9,982,926x = 15,334,995.94 × 15,334,995.94
  4. Step 4: Simplify right side
    9,982,926x = 235,162,100,403,141.50
  5. Step 5: Solve for x
    x = 235,162,100,403,141.50/9,982,926
  6. Step 6: Final answer
    x = 23,556,430.29

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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.