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Finding the Third Proportional to 32,078,235 and 65,857,029

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Solution

The third proportional to 32,078,235 and 65,857,029 is: 135,205,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,235 : 65,857,029 = 65,857,029 : x
  2. Step 2: Convert to fraction form
    32,078,235/65,857,029 = 65,857,029/x
  3. Step 3: Cross multiply
    32,078,235x = 65,857,029 × 65,857,029
  4. Step 4: Simplify right side
    32,078,235x = 4,337,148,268,706,841
  5. Step 5: Solve for x
    x = 4,337,148,268,706,841/32,078,235
  6. Step 6: Final answer
    x = 135,205,327.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.