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Finding the Third Proportional to 46,977,137 and 71,869,761

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Solution

The third proportional to 46,977,137 and 71,869,761 is: 109,952,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,137 : 71,869,761 = 71,869,761 : x
  2. Step 2: Convert to fraction form
    46,977,137/71,869,761 = 71,869,761/x
  3. Step 3: Cross multiply
    46,977,137x = 71,869,761 × 71,869,761
  4. Step 4: Simplify right side
    46,977,137x = 5,165,262,546,197,121
  5. Step 5: Solve for x
    x = 5,165,262,546,197,121/46,977,137
  6. Step 6: Final answer
    x = 109,952,689.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.