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Finding the Third Proportional to 3,698,787 and 7,947,942

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Solution

The third proportional to 3,698,787 and 7,947,942 is: 17,078,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698,787 : 7,947,942 = 7,947,942 : x
  2. Step 2: Convert to fraction form
    3,698,787/7,947,942 = 7,947,942/x
  3. Step 3: Cross multiply
    3,698,787x = 7,947,942 × 7,947,942
  4. Step 4: Simplify right side
    3,698,787x = 63,169,782,035,364
  5. Step 5: Solve for x
    x = 63,169,782,035,364/3,698,787
  6. Step 6: Final answer
    x = 17,078,513.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.