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Finding the Third Proportional to 9,659,961,760 and 20,870,931,284

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Solution

The third proportional to 9,659,961,760 and 20,870,931,284 is: 45,092,908,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,961,760 : 20,870,931,284 = 20,870,931,284 : x
  2. Step 2: Convert to fraction form
    9,659,961,760/20,870,931,284 = 20,870,931,284/x
  3. Step 3: Cross multiply
    9,659,961,760x = 20,870,931,284 × 20,870,931,284
  4. Step 4: Simplify right side
    9,659,961,760x = 435,595,772,661,449,883,648
  5. Step 5: Solve for x
    x = 435,595,772,661,449,883,648/9,659,961,760
  6. Step 6: Final answer
    x = 45,092,908,593.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.