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Finding the Third Proportional to 7,750,784 and 18,103,575

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Solution

The third proportional to 7,750,784 and 18,103,575 is: 42,284,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,784 : 18,103,575 = 18,103,575 : x
  2. Step 2: Convert to fraction form
    7,750,784/18,103,575 = 18,103,575/x
  3. Step 3: Cross multiply
    7,750,784x = 18,103,575 × 18,103,575
  4. Step 4: Simplify right side
    7,750,784x = 327,739,427,780,625
  5. Step 5: Solve for x
    x = 327,739,427,780,625/7,750,784
  6. Step 6: Final answer
    x = 42,284,680.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.