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Finding the Third Proportional to 46,977,135 and 71,869,758

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Solution

The third proportional to 46,977,135 and 71,869,758 is: 109,952,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,135 : 71,869,758 = 71,869,758 : x
  2. Step 2: Convert to fraction form
    46,977,135/71,869,758 = 71,869,758/x
  3. Step 3: Cross multiply
    46,977,135x = 71,869,758 × 71,869,758
  4. Step 4: Simplify right side
    46,977,135x = 5,165,262,114,978,564
  5. Step 5: Solve for x
    x = 5,165,262,114,978,564/46,977,135
  6. Step 6: Final answer
    x = 109,952,684.75

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