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Finding the Third Proportional to 9,686,724.75 and 20,914,380

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Solution

The third proportional to 9,686,724.75 and 20,914,380 is: 45,155,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,724.75 : 20,914,380 = 20,914,380 : x
  2. Step 2: Convert to fraction form
    9,686,724.75/20,914,380 = 20,914,380/x
  3. Step 3: Cross multiply
    9,686,724.75x = 20,914,380 × 20,914,380
  4. Step 4: Simplify right side
    9,686,724.75x = 437,411,290,784,400
  5. Step 5: Solve for x
    x = 437,411,290,784,400/9,686,724.75
  6. Step 6: Final answer
    x = 45,155,746.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.