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Finding the Third Proportional to 5,746,382 and 8,569,749

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Solution

The third proportional to 5,746,382 and 8,569,749 is: 12,780,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,382 : 8,569,749 = 8,569,749 : x
  2. Step 2: Convert to fraction form
    5,746,382/8,569,749 = 8,569,749/x
  3. Step 3: Cross multiply
    5,746,382x = 8,569,749 × 8,569,749
  4. Step 4: Simplify right side
    5,746,382x = 73,440,597,923,001
  5. Step 5: Solve for x
    x = 73,440,597,923,001/5,746,382
  6. Step 6: Final answer
    x = 12,780,319.50

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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.