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Finding the Third Proportional to 46,977,129 and 71,869,747.50

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Solution

The third proportional to 46,977,129 and 71,869,747.50 is: 109,952,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,129 : 71,869,747.50 = 71,869,747.50 : x
  2. Step 2: Convert to fraction form
    46,977,129/71,869,747.50 = 71,869,747.50/x
  3. Step 3: Cross multiply
    46,977,129x = 71,869,747.50 × 71,869,747.50
  4. Step 4: Simplify right side
    46,977,129x = 5,165,260,605,713,756
  5. Step 5: Solve for x
    x = 5,165,260,605,713,756/46,977,129
  6. Step 6: Final answer
    x = 109,952,666.66

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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.