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Finding the Third Proportional to 7,818,232 and 16,818,416

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Solution

The third proportional to 7,818,232 and 16,818,416 is: 36,179,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818,232 : 16,818,416 = 16,818,416 : x
  2. Step 2: Convert to fraction form
    7,818,232/16,818,416 = 16,818,416/x
  3. Step 3: Cross multiply
    7,818,232x = 16,818,416 × 16,818,416
  4. Step 4: Simplify right side
    7,818,232x = 282,859,116,749,056
  5. Step 5: Solve for x
    x = 282,859,116,749,056/7,818,232
  6. Step 6: Final answer
    x = 36,179,422.25

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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.