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Finding the Third Proportional to 10,488,696 and 22,823,220

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Solution

The third proportional to 10,488,696 and 22,823,220 is: 49,662,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488,696 : 22,823,220 = 22,823,220 : x
  2. Step 2: Convert to fraction form
    10,488,696/22,823,220 = 22,823,220/x
  3. Step 3: Cross multiply
    10,488,696x = 22,823,220 × 22,823,220
  4. Step 4: Simplify right side
    10,488,696x = 520,899,371,168,400
  5. Step 5: Solve for x
    x = 520,899,371,168,400/10,488,696
  6. Step 6: Final answer
    x = 49,662,929.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.