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Finding the Third Proportional to 23,405,510 and 31,056,610

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Solution

The third proportional to 23,405,510 and 31,056,610 is: 41,208,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405,510 : 31,056,610 = 31,056,610 : x
  2. Step 2: Convert to fraction form
    23,405,510/31,056,610 = 31,056,610/x
  3. Step 3: Cross multiply
    23,405,510x = 31,056,610 × 31,056,610
  4. Step 4: Simplify right side
    23,405,510x = 964,513,024,692,100
  5. Step 5: Solve for x
    x = 964,513,024,692,100/23,405,510
  6. Step 6: Final answer
    x = 41,208,801.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.