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Finding the Third Proportional to 22,266,784 and 34,477,591

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Solution

The third proportional to 22,266,784 and 34,477,591 is: 53,384,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266,784 : 34,477,591 = 34,477,591 : x
  2. Step 2: Convert to fraction form
    22,266,784/34,477,591 = 34,477,591/x
  3. Step 3: Cross multiply
    22,266,784x = 34,477,591 × 34,477,591
  4. Step 4: Simplify right side
    22,266,784x = 1,188,704,281,163,281
  5. Step 5: Solve for x
    x = 1,188,704,281,163,281/22,266,784
  6. Step 6: Final answer
    x = 53,384,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.