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Finding the Third Proportional to 10,522,278 and 22,610,997

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Solution

The third proportional to 10,522,278 and 22,610,997 is: 48,588,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,278 : 22,610,997 = 22,610,997 : x
  2. Step 2: Convert to fraction form
    10,522,278/22,610,997 = 22,610,997/x
  3. Step 3: Cross multiply
    10,522,278x = 22,610,997 × 22,610,997
  4. Step 4: Simplify right side
    10,522,278x = 511,257,185,334,009
  5. Step 5: Solve for x
    x = 511,257,185,334,009/10,522,278
  6. Step 6: Final answer
    x = 48,588,070.50

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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.