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Finding the Third Proportional to 35,232,855.75 and 53,902,324.13

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Solution

The third proportional to 35,232,855.75 and 53,902,324.13 is: 82,464,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232,855.75 : 53,902,324.13 = 53,902,324.13 : x
  2. Step 2: Convert to fraction form
    35,232,855.75/53,902,324.13 = 53,902,324.13/x
  3. Step 3: Cross multiply
    35,232,855.75x = 53,902,324.13 × 53,902,324.13
  4. Step 4: Simplify right side
    35,232,855.75x = 2,905,460,546,076,557
  5. Step 5: Solve for x
    x = 2,905,460,546,076,557/35,232,855.75
  6. Step 6: Final answer
    x = 82,464,520.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.