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Finding the Third Proportional to 32,405,708 and 70,375,018

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Solution

The third proportional to 32,405,708 and 70,375,018 is: 152,832,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405,708 : 70,375,018 = 70,375,018 : x
  2. Step 2: Convert to fraction form
    32,405,708/70,375,018 = 70,375,018/x
  3. Step 3: Cross multiply
    32,405,708x = 70,375,018 × 70,375,018
  4. Step 4: Simplify right side
    32,405,708x = 4,952,643,158,500,324
  5. Step 5: Solve for x
    x = 4,952,643,158,500,324/32,405,708
  6. Step 6: Final answer
    x = 152,832,431.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.