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Finding the Third Proportional to 10,303,212 and 22,376,328

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Solution

The third proportional to 10,303,212 and 22,376,328 is: 48,596,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303,212 : 22,376,328 = 22,376,328 : x
  2. Step 2: Convert to fraction form
    10,303,212/22,376,328 = 22,376,328/x
  3. Step 3: Cross multiply
    10,303,212x = 22,376,328 × 22,376,328
  4. Step 4: Simplify right side
    10,303,212x = 500,700,054,763,584
  5. Step 5: Solve for x
    x = 500,700,054,763,584/10,303,212
  6. Step 6: Final answer
    x = 48,596,501.24

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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.