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Finding the Third Proportional to 15,427,465.50 and 32,905,243.50

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Solution

The third proportional to 15,427,465.50 and 32,905,243.50 is: 70,183,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427,465.50 : 32,905,243.50 = 32,905,243.50 : x
  2. Step 2: Convert to fraction form
    15,427,465.50/32,905,243.50 = 32,905,243.50/x
  3. Step 3: Cross multiply
    15,427,465.50x = 32,905,243.50 × 32,905,243.50
  4. Step 4: Simplify right side
    15,427,465.50x = 1,082,755,049,794,292.25
  5. Step 5: Solve for x
    x = 1,082,755,049,794,292.25/15,427,465.50
  6. Step 6: Final answer
    x = 70,183,598.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.