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Finding the Third Proportional to 10,362,878 and 16,254,269

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Solution

The third proportional to 10,362,878 and 16,254,269 is: 25,494,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,878 : 16,254,269 = 16,254,269 : x
  2. Step 2: Convert to fraction form
    10,362,878/16,254,269 = 16,254,269/x
  3. Step 3: Cross multiply
    10,362,878x = 16,254,269 × 16,254,269
  4. Step 4: Simplify right side
    10,362,878x = 264,201,260,724,361
  5. Step 5: Solve for x
    x = 264,201,260,724,361/10,362,878
  6. Step 6: Final answer
    x = 25,494,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.