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Finding the Third Proportional to 4,733,101 and 10,361,764

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Solution

The third proportional to 4,733,101 and 10,361,764 is: 22,684,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,101 : 10,361,764 = 10,361,764 : x
  2. Step 2: Convert to fraction form
    4,733,101/10,361,764 = 10,361,764/x
  3. Step 3: Cross multiply
    4,733,101x = 10,361,764 × 10,361,764
  4. Step 4: Simplify right side
    4,733,101x = 107,366,153,191,696
  5. Step 5: Solve for x
    x = 107,366,153,191,696/4,733,101
  6. Step 6: Final answer
    x = 22,684,103.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.