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Finding the Third Proportional to 4,685,590.50 and 7,078,309.50

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Solution

The third proportional to 4,685,590.50 and 7,078,309.50 is: 10,692,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685,590.50 : 7,078,309.50 = 7,078,309.50 : x
  2. Step 2: Convert to fraction form
    4,685,590.50/7,078,309.50 = 7,078,309.50/x
  3. Step 3: Cross multiply
    4,685,590.50x = 7,078,309.50 × 7,078,309.50
  4. Step 4: Simplify right side
    4,685,590.50x = 50,102,465,377,790.25
  5. Step 5: Solve for x
    x = 50,102,465,377,790.25/4,685,590.50
  6. Step 6: Final answer
    x = 10,692,881.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.