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Finding the Third Proportional to 3,215,646,901.13 and 6,965,508,370.50

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Solution

The third proportional to 3,215,646,901.13 and 6,965,508,370.50 is: 15,088,194,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,646,901.13 : 6,965,508,370.50 = 6,965,508,370.50 : x
  2. Step 2: Convert to fraction form
    3,215,646,901.13/6,965,508,370.50 = 6,965,508,370.50/x
  3. Step 3: Cross multiply
    3,215,646,901.13x = 6,965,508,370.50 × 6,965,508,370.50
  4. Step 4: Simplify right side
    3,215,646,901.13x = 48,518,306,859,505,565,696
  5. Step 5: Solve for x
    x = 48,518,306,859,505,565,696/3,215,646,901.13
  6. Step 6: Final answer
    x = 15,088,194,802.27

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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.