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Finding the Third Proportional to 32,551,768 and 70,214,425

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Solution

The third proportional to 32,551,768 and 70,214,425 is: 151,453,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551,768 : 70,214,425 = 70,214,425 : x
  2. Step 2: Convert to fraction form
    32,551,768/70,214,425 = 70,214,425/x
  3. Step 3: Cross multiply
    32,551,768x = 70,214,425 × 70,214,425
  4. Step 4: Simplify right side
    32,551,768x = 4,930,065,478,080,625
  5. Step 5: Solve for x
    x = 4,930,065,478,080,625/32,551,768
  6. Step 6: Final answer
    x = 151,453,078.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.