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Finding the Third Proportional to 9,847,386 and 15,821,986.50

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Solution

The third proportional to 9,847,386 and 15,821,986.50 is: 25,421,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,386 : 15,821,986.50 = 15,821,986.50 : x
  2. Step 2: Convert to fraction form
    9,847,386/15,821,986.50 = 15,821,986.50/x
  3. Step 3: Cross multiply
    9,847,386x = 15,821,986.50 × 15,821,986.50
  4. Step 4: Simplify right side
    9,847,386x = 250,335,256,806,182.25
  5. Step 5: Solve for x
    x = 250,335,256,806,182.25/9,847,386
  6. Step 6: Final answer
    x = 25,421,493.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.