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Finding the Third Proportional to 10,823,036 and 22,541,656

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Solution

The third proportional to 10,823,036 and 22,541,656 is: 46,948,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823,036 : 22,541,656 = 22,541,656 : x
  2. Step 2: Convert to fraction form
    10,823,036/22,541,656 = 22,541,656/x
  3. Step 3: Cross multiply
    10,823,036x = 22,541,656 × 22,541,656
  4. Step 4: Simplify right side
    10,823,036x = 508,126,255,222,336
  5. Step 5: Solve for x
    x = 508,126,255,222,336/10,823,036
  6. Step 6: Final answer
    x = 46,948,587.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.