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Finding the Third Proportional to 3,956,879,893,827 and 8,570,804,274,294

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Solution

The third proportional to 3,956,879,893,827 and 8,570,804,274,294 is: 18,564,800,519,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956,879,893,827 : 8,570,804,274,294 = 8,570,804,274,294 : x
  2. Step 2: Convert to fraction form
    3,956,879,893,827/8,570,804,274,294 = 8,570,804,274,294/x
  3. Step 3: Cross multiply
    3,956,879,893,827x = 8,570,804,274,294 × 8,570,804,274,294
  4. Step 4: Simplify right side
    3,956,879,893,827x = 73,458,685,908,256,304,155,066,368
  5. Step 5: Solve for x
    x = 73,458,685,908,256,304,155,066,368/3,956,879,893,827
  6. Step 6: Final answer
    x = 18,564,800,519,433.71

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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.