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Finding the Third Proportional to 5,878,068,680 and 12,691,210,351

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Solution

The third proportional to 5,878,068,680 and 12,691,210,351 is: 27,401,316,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,068,680 : 12,691,210,351 = 12,691,210,351 : x
  2. Step 2: Convert to fraction form
    5,878,068,680/12,691,210,351 = 12,691,210,351/x
  3. Step 3: Cross multiply
    5,878,068,680x = 12,691,210,351 × 12,691,210,351
  4. Step 4: Simplify right side
    5,878,068,680x = 161,066,820,173,329,530,880
  5. Step 5: Solve for x
    x = 161,066,820,173,329,530,880/5,878,068,680
  6. Step 6: Final answer
    x = 27,401,316,476.85

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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.