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Finding the Third Proportional to 7,453,641 and 15,883,410

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Solution

The third proportional to 7,453,641 and 15,883,410 is: 33,846,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453,641 : 15,883,410 = 15,883,410 : x
  2. Step 2: Convert to fraction form
    7,453,641/15,883,410 = 15,883,410/x
  3. Step 3: Cross multiply
    7,453,641x = 15,883,410 × 15,883,410
  4. Step 4: Simplify right side
    7,453,641x = 252,282,713,228,100
  5. Step 5: Solve for x
    x = 252,282,713,228,100/7,453,641
  6. Step 6: Final answer
    x = 33,846,909.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.