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Finding the Third Proportional to 1,654,155,697,845 and 3,540,680,954,391

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Solution

The third proportional to 1,654,155,697,845 and 3,540,680,954,391 is: 7,578,743,426,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,155,697,845 : 3,540,680,954,391 = 3,540,680,954,391 : x
  2. Step 2: Convert to fraction form
    1,654,155,697,845/3,540,680,954,391 = 3,540,680,954,391/x
  3. Step 3: Cross multiply
    1,654,155,697,845x = 3,540,680,954,391 × 3,540,680,954,391
  4. Step 4: Simplify right side
    1,654,155,697,845x = 12,536,421,620,787,162,225,049,600
  5. Step 5: Solve for x
    x = 12,536,421,620,787,162,225,049,600/1,654,155,697,845
  6. Step 6: Final answer
    x = 7,578,743,426,099.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.