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Finding the Third Proportional to 3,215,642,070 and 6,965,500,447

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Solution

The third proportional to 3,215,642,070 and 6,965,500,447 is: 15,088,183,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,642,070 : 6,965,500,447 = 6,965,500,447 : x
  2. Step 2: Convert to fraction form
    3,215,642,070/6,965,500,447 = 6,965,500,447/x
  3. Step 3: Cross multiply
    3,215,642,070x = 6,965,500,447 × 6,965,500,447
  4. Step 4: Simplify right side
    3,215,642,070x = 48,518,196,477,157,195,776
  5. Step 5: Solve for x
    x = 48,518,196,477,157,195,776/3,215,642,070
  6. Step 6: Final answer
    x = 15,088,183,143.83

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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.