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Finding the Third Proportional to 34,085,476 and 47,943,498

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Solution

The third proportional to 34,085,476 and 47,943,498 is: 67,435,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085,476 : 47,943,498 = 47,943,498 : x
  2. Step 2: Convert to fraction form
    34,085,476/47,943,498 = 47,943,498/x
  3. Step 3: Cross multiply
    34,085,476x = 47,943,498 × 47,943,498
  4. Step 4: Simplify right side
    34,085,476x = 2,298,579,000,476,004
  5. Step 5: Solve for x
    x = 2,298,579,000,476,004/34,085,476
  6. Step 6: Final answer
    x = 67,435,731.29

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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.