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Finding the Third Proportional to 32,405,706 and 70,375,014

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Solution

The third proportional to 32,405,706 and 70,375,014 is: 152,832,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405,706 : 70,375,014 = 70,375,014 : x
  2. Step 2: Convert to fraction form
    32,405,706/70,375,014 = 70,375,014/x
  3. Step 3: Cross multiply
    32,405,706x = 70,375,014 × 70,375,014
  4. Step 4: Simplify right side
    32,405,706x = 4,952,642,595,500,196
  5. Step 5: Solve for x
    x = 4,952,642,595,500,196/32,405,706
  6. Step 6: Final answer
    x = 152,832,423.88

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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.