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Finding the Third Proportional to 10,097,170.50 and 21,733,989

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Solution

The third proportional to 10,097,170.50 and 21,733,989 is: 46,782,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,170.50 : 21,733,989 = 21,733,989 : x
  2. Step 2: Convert to fraction form
    10,097,170.50/21,733,989 = 21,733,989/x
  3. Step 3: Cross multiply
    10,097,170.50x = 21,733,989 × 21,733,989
  4. Step 4: Simplify right side
    10,097,170.50x = 472,366,277,852,121
  5. Step 5: Solve for x
    x = 472,366,277,852,121/10,097,170.50
  6. Step 6: Final answer
    x = 46,782,044.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.