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Finding the Third Proportional to 6,214,358.25 and 13,292,230.50

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Solution

The third proportional to 6,214,358.25 and 13,292,230.50 is: 28,431,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,358.25 : 13,292,230.50 = 13,292,230.50 : x
  2. Step 2: Convert to fraction form
    6,214,358.25/13,292,230.50 = 13,292,230.50/x
  3. Step 3: Cross multiply
    6,214,358.25x = 13,292,230.50 × 13,292,230.50
  4. Step 4: Simplify right side
    6,214,358.25x = 176,683,391,665,130.25
  5. Step 5: Solve for x
    x = 176,683,391,665,130.25/6,214,358.25
  6. Step 6: Final answer
    x = 28,431,478.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.