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Finding the Third Proportional to 76,650,574 and 114,947,715

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Solution

The third proportional to 76,650,574 and 114,947,715 is: 172,379,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,574 : 114,947,715 = 114,947,715 : x
  2. Step 2: Convert to fraction form
    76,650,574/114,947,715 = 114,947,715/x
  3. Step 3: Cross multiply
    76,650,574x = 114,947,715 × 114,947,715
  4. Step 4: Simplify right side
    76,650,574x = 13,212,977,183,721,224
  5. Step 5: Solve for x
    x = 13,212,977,183,721,224/76,650,574
  6. Step 6: Final answer
    x = 172,379,363.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.