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Finding the Third Proportional to 8,201,520 and 19,162,440

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Solution

The third proportional to 8,201,520 and 19,162,440 is: 44,772,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201,520 : 19,162,440 = 19,162,440 : x
  2. Step 2: Convert to fraction form
    8,201,520/19,162,440 = 19,162,440/x
  3. Step 3: Cross multiply
    8,201,520x = 19,162,440 × 19,162,440
  4. Step 4: Simplify right side
    8,201,520x = 367,199,106,753,600
  5. Step 5: Solve for x
    x = 367,199,106,753,600/8,201,520
  6. Step 6: Final answer
    x = 44,772,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.