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Finding the Third Proportional to 10,662,617 and 23,024,255

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Solution

The third proportional to 10,662,617 and 23,024,255 is: 49,717,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662,617 : 23,024,255 = 23,024,255 : x
  2. Step 2: Convert to fraction form
    10,662,617/23,024,255 = 23,024,255/x
  3. Step 3: Cross multiply
    10,662,617x = 23,024,255 × 23,024,255
  4. Step 4: Simplify right side
    10,662,617x = 530,116,318,305,025
  5. Step 5: Solve for x
    x = 530,116,318,305,025/10,662,617
  6. Step 6: Final answer
    x = 49,717,280.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.