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Finding the Third Proportional to 9,312,764 and 13,911,793

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Solution

The third proportional to 9,312,764 and 13,911,793 is: 20,782,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312,764 : 13,911,793 = 13,911,793 : x
  2. Step 2: Convert to fraction form
    9,312,764/13,911,793 = 13,911,793/x
  3. Step 3: Cross multiply
    9,312,764x = 13,911,793 × 13,911,793
  4. Step 4: Simplify right side
    9,312,764x = 193,537,984,474,849
  5. Step 5: Solve for x
    x = 193,537,984,474,849/9,312,764
  6. Step 6: Final answer
    x = 20,782,013.21

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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.