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Finding the Third Proportional to 34,085,478 and 47,943,501

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Solution

The third proportional to 34,085,478 and 47,943,501 is: 67,435,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085,478 : 47,943,501 = 47,943,501 : x
  2. Step 2: Convert to fraction form
    34,085,478/47,943,501 = 47,943,501/x
  3. Step 3: Cross multiply
    34,085,478x = 47,943,501 × 47,943,501
  4. Step 4: Simplify right side
    34,085,478x = 2,298,579,288,137,001
  5. Step 5: Solve for x
    x = 2,298,579,288,137,001/34,085,478
  6. Step 6: Final answer
    x = 67,435,735.77

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Why These Related Problems?

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