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Finding the Third Proportional to 10,097,188 and 21,734,024

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Solution

The third proportional to 10,097,188 and 21,734,024 is: 46,782,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,188 : 21,734,024 = 21,734,024 : x
  2. Step 2: Convert to fraction form
    10,097,188/21,734,024 = 21,734,024/x
  3. Step 3: Cross multiply
    10,097,188x = 21,734,024 × 21,734,024
  4. Step 4: Simplify right side
    10,097,188x = 472,367,799,232,576
  5. Step 5: Solve for x
    x = 472,367,799,232,576/10,097,188
  6. Step 6: Final answer
    x = 46,782,113.91

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