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Finding the Third Proportional to 15,974,500.50 and 34,989,801.75

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Solution

The third proportional to 15,974,500.50 and 34,989,801.75 is: 76,640,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974,500.50 : 34,989,801.75 = 34,989,801.75 : x
  2. Step 2: Convert to fraction form
    15,974,500.50/34,989,801.75 = 34,989,801.75/x
  3. Step 3: Cross multiply
    15,974,500.50x = 34,989,801.75 × 34,989,801.75
  4. Step 4: Simplify right side
    15,974,500.50x = 1,224,286,226,504,303
  5. Step 5: Solve for x
    x = 1,224,286,226,504,303/15,974,500.50
  6. Step 6: Final answer
    x = 76,640,031.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.