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Finding the Third Proportional to 53,968,760 and 82,902,615

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Solution

The third proportional to 53,968,760 and 82,902,615 is: 127,348,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968,760 : 82,902,615 = 82,902,615 : x
  2. Step 2: Convert to fraction form
    53,968,760/82,902,615 = 82,902,615/x
  3. Step 3: Cross multiply
    53,968,760x = 82,902,615 × 82,902,615
  4. Step 4: Simplify right side
    53,968,760x = 6,872,843,573,838,225
  5. Step 5: Solve for x
    x = 6,872,843,573,838,225/53,968,760
  6. Step 6: Final answer
    x = 127,348,554.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.