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Finding the Third Proportional to 6,593,069 and 14,132,299

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Solution

The third proportional to 6,593,069 and 14,132,299 is: 30,292,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,069 : 14,132,299 = 14,132,299 : x
  2. Step 2: Convert to fraction form
    6,593,069/14,132,299 = 14,132,299/x
  3. Step 3: Cross multiply
    6,593,069x = 14,132,299 × 14,132,299
  4. Step 4: Simplify right side
    6,593,069x = 199,721,875,025,401
  5. Step 5: Solve for x
    x = 199,721,875,025,401/6,593,069
  6. Step 6: Final answer
    x = 30,292,702.08

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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.