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Finding the Third Proportional to 34,085,477 and 47,943,499.50

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Solution

The third proportional to 34,085,477 and 47,943,499.50 is: 67,435,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085,477 : 47,943,499.50 = 47,943,499.50 : x
  2. Step 2: Convert to fraction form
    34,085,477/47,943,499.50 = 47,943,499.50/x
  3. Step 3: Cross multiply
    34,085,477x = 47,943,499.50 × 47,943,499.50
  4. Step 4: Simplify right side
    34,085,477x = 2,298,579,144,306,500
  5. Step 5: Solve for x
    x = 2,298,579,144,306,500/34,085,477
  6. Step 6: Final answer
    x = 67,435,733.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.