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Finding the Third Proportional to 4,728,299 and 7,488,295.50

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Solution

The third proportional to 4,728,299 and 7,488,295.50 is: 11,859,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728,299 : 7,488,295.50 = 7,488,295.50 : x
  2. Step 2: Convert to fraction form
    4,728,299/7,488,295.50 = 7,488,295.50/x
  3. Step 3: Cross multiply
    4,728,299x = 7,488,295.50 × 7,488,295.50
  4. Step 4: Simplify right side
    4,728,299x = 56,074,569,495,320.25
  5. Step 5: Solve for x
    x = 56,074,569,495,320.25/4,728,299
  6. Step 6: Final answer
    x = 11,859,353.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.