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Finding the Third Proportional to 32,359,419.75 and 69,521,490.75

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Solution

The third proportional to 32,359,419.75 and 69,521,490.75 is: 149,361,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359,419.75 : 69,521,490.75 = 69,521,490.75 : x
  2. Step 2: Convert to fraction form
    32,359,419.75/69,521,490.75 = 69,521,490.75/x
  3. Step 3: Cross multiply
    32,359,419.75x = 69,521,490.75 × 69,521,490.75
  4. Step 4: Simplify right side
    32,359,419.75x = 4,833,237,676,102,336
  5. Step 5: Solve for x
    x = 4,833,237,676,102,336/32,359,419.75
  6. Step 6: Final answer
    x = 149,361,073.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.