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Finding the Third Proportional to 6,753,566,060 and 14,669,720,500

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Solution

The third proportional to 6,753,566,060 and 14,669,720,500 is: 31,864,750,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753,566,060 : 14,669,720,500 = 14,669,720,500 : x
  2. Step 2: Convert to fraction form
    6,753,566,060/14,669,720,500 = 14,669,720,500/x
  3. Step 3: Cross multiply
    6,753,566,060x = 14,669,720,500 × 14,669,720,500
  4. Step 4: Simplify right side
    6,753,566,060x = 215,200,699,548,120,252,416
  5. Step 5: Solve for x
    x = 215,200,699,548,120,252,416/6,753,566,060
  6. Step 6: Final answer
    x = 31,864,750,805.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.