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Finding the Third Proportional to 5,029,749 and 7,977,493.50

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Solution

The third proportional to 5,029,749 and 7,977,493.50 is: 12,652,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029,749 : 7,977,493.50 = 7,977,493.50 : x
  2. Step 2: Convert to fraction form
    5,029,749/7,977,493.50 = 7,977,493.50/x
  3. Step 3: Cross multiply
    5,029,749x = 7,977,493.50 × 7,977,493.50
  4. Step 4: Simplify right side
    5,029,749x = 63,640,402,542,542.25
  5. Step 5: Solve for x
    x = 63,640,402,542,542.25/5,029,749
  6. Step 6: Final answer
    x = 12,652,798.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.