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Finding the Third Proportional to 32,969,184 and 48,465,900

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Solution

The third proportional to 32,969,184 and 48,465,900 is: 71,246,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969,184 : 48,465,900 = 48,465,900 : x
  2. Step 2: Convert to fraction form
    32,969,184/48,465,900 = 48,465,900/x
  3. Step 3: Cross multiply
    32,969,184x = 48,465,900 × 48,465,900
  4. Step 4: Simplify right side
    32,969,184x = 2,348,943,462,810,000
  5. Step 5: Solve for x
    x = 2,348,943,462,810,000/32,969,184
  6. Step 6: Final answer
    x = 71,246,636.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.