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Finding the Third Proportional to 8,271,497.25 and 12,357,420.75

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Solution

The third proportional to 8,271,497.25 and 12,357,420.75 is: 18,461,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271,497.25 : 12,357,420.75 = 12,357,420.75 : x
  2. Step 2: Convert to fraction form
    8,271,497.25/12,357,420.75 = 12,357,420.75/x
  3. Step 3: Cross multiply
    8,271,497.25x = 12,357,420.75 × 12,357,420.75
  4. Step 4: Simplify right side
    8,271,497.25x = 152,705,847,592,530.56
  5. Step 5: Solve for x
    x = 152,705,847,592,530.56/8,271,497.25
  6. Step 6: Final answer
    x = 18,461,693.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.