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Finding the Third Proportional to 10,303,240 and 22,376,384

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Solution

The third proportional to 10,303,240 and 22,376,384 is: 48,596,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303,240 : 22,376,384 = 22,376,384 : x
  2. Step 2: Convert to fraction form
    10,303,240/22,376,384 = 22,376,384/x
  3. Step 3: Cross multiply
    10,303,240x = 22,376,384 × 22,376,384
  4. Step 4: Simplify right side
    10,303,240x = 500,702,560,915,456
  5. Step 5: Solve for x
    x = 500,702,560,915,456/10,303,240
  6. Step 6: Final answer
    x = 48,596,612.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.