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Finding the Third Proportional to 29,775,394.50 and 45,539,025

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Solution

The third proportional to 29,775,394.50 and 45,539,025 is: 69,648,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775,394.50 : 45,539,025 = 45,539,025 : x
  2. Step 2: Convert to fraction form
    29,775,394.50/45,539,025 = 45,539,025/x
  3. Step 3: Cross multiply
    29,775,394.50x = 45,539,025 × 45,539,025
  4. Step 4: Simplify right side
    29,775,394.50x = 2,073,802,797,950,625
  5. Step 5: Solve for x
    x = 2,073,802,797,950,625/29,775,394.50
  6. Step 6: Final answer
    x = 69,648,205.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.