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Finding the Third Proportional to 10,097,177 and 21,734,001.50

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Solution

The third proportional to 10,097,177 and 21,734,001.50 is: 46,782,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,177 : 21,734,001.50 = 21,734,001.50 : x
  2. Step 2: Convert to fraction form
    10,097,177/21,734,001.50 = 21,734,001.50/x
  3. Step 3: Cross multiply
    10,097,177x = 21,734,001.50 × 21,734,001.50
  4. Step 4: Simplify right side
    10,097,177x = 472,366,821,202,002.25
  5. Step 5: Solve for x
    x = 472,366,821,202,002.25/10,097,177
  6. Step 6: Final answer
    x = 46,782,068.02

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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.