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Finding the Third Proportional to 10,097,232 and 21,734,112

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Solution

The third proportional to 10,097,232 and 21,734,112 is: 46,782,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,232 : 21,734,112 = 21,734,112 : x
  2. Step 2: Convert to fraction form
    10,097,232/21,734,112 = 21,734,112/x
  3. Step 3: Cross multiply
    10,097,232x = 21,734,112 × 21,734,112
  4. Step 4: Simplify right side
    10,097,232x = 472,371,624,428,544
  5. Step 5: Solve for x
    x = 472,371,624,428,544/10,097,232
  6. Step 6: Final answer
    x = 46,782,288.89

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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.