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Finding the Third Proportional to 9,947,340 and 15,817,752

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Solution

The third proportional to 9,947,340 and 15,817,752 is: 25,152,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,340 : 15,817,752 = 15,817,752 : x
  2. Step 2: Convert to fraction form
    9,947,340/15,817,752 = 15,817,752/x
  3. Step 3: Cross multiply
    9,947,340x = 15,817,752 × 15,817,752
  4. Step 4: Simplify right side
    9,947,340x = 250,201,278,333,504
  5. Step 5: Solve for x
    x = 250,201,278,333,504/9,947,340
  6. Step 6: Final answer
    x = 25,152,581.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.