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Finding the Third Proportional to 9,686,986.13 and 21,076,416.75

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Solution

The third proportional to 9,686,986.13 and 21,076,416.75 is: 45,856,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,986.13 : 21,076,416.75 = 21,076,416.75 : x
  2. Step 2: Convert to fraction form
    9,686,986.13/21,076,416.75 = 21,076,416.75/x
  3. Step 3: Cross multiply
    9,686,986.13x = 21,076,416.75 × 21,076,416.75
  4. Step 4: Simplify right side
    9,686,986.13x = 444,215,343,019,680.56
  5. Step 5: Solve for x
    x = 444,215,343,019,680.56/9,686,986.13
  6. Step 6: Final answer
    x = 45,856,919.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.