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Finding the Third Proportional to 6,508,013.63 and 13,520,478.38

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Solution

The third proportional to 6,508,013.63 and 13,520,478.38 is: 28,088,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,013.63 : 13,520,478.38 = 13,520,478.38 : x
  2. Step 2: Convert to fraction form
    6,508,013.63/13,520,478.38 = 13,520,478.38/x
  3. Step 3: Cross multiply
    6,508,013.63x = 13,520,478.38 × 13,520,478.38
  4. Step 4: Simplify right side
    6,508,013.63x = 182,803,335,488,842.62
  5. Step 5: Solve for x
    x = 182,803,335,488,842.62/6,508,013.63
  6. Step 6: Final answer
    x = 28,088,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.