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Finding the Third Proportional to 10,368,072 and 22,608,216

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Solution

The third proportional to 10,368,072 and 22,608,216 is: 49,298,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368,072 : 22,608,216 = 22,608,216 : x
  2. Step 2: Convert to fraction form
    10,368,072/22,608,216 = 22,608,216/x
  3. Step 3: Cross multiply
    10,368,072x = 22,608,216 × 22,608,216
  4. Step 4: Simplify right side
    10,368,072x = 511,131,430,702,656
  5. Step 5: Solve for x
    x = 511,131,430,702,656/10,368,072
  6. Step 6: Final answer
    x = 49,298,599.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.