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Finding the Third Proportional to 61,024,914 and 92,104,882.50

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Solution

The third proportional to 61,024,914 and 92,104,882.50 is: 139,013,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,024,914 : 92,104,882.50 = 92,104,882.50 : x
  2. Step 2: Convert to fraction form
    61,024,914/92,104,882.50 = 92,104,882.50/x
  3. Step 3: Cross multiply
    61,024,914x = 92,104,882.50 × 92,104,882.50
  4. Step 4: Simplify right side
    61,024,914x = 8,483,309,380,338,806
  5. Step 5: Solve for x
    x = 8,483,309,380,338,806/61,024,914
  6. Step 6: Final answer
    x = 139,013,868.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.