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Finding the Third Proportional to 43,925,866,013.71 and 61,857,298,717.51

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Solution

The third proportional to 43,925,866,013.71 and 61,857,298,717.51 is: 87,108,707,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,925,866,013.71 : 61,857,298,717.51 = 61,857,298,717.51 : x
  2. Step 2: Convert to fraction form
    43,925,866,013.71/61,857,298,717.51 = 61,857,298,717.51/x
  3. Step 3: Cross multiply
    43,925,866,013.71x = 61,857,298,717.51 × 61,857,298,717.51
  4. Step 4: Simplify right side
    43,925,866,013.71x = 3,826,325,404,626,645,417,984
  5. Step 5: Solve for x
    x = 3,826,325,404,626,645,417,984/43,925,866,013.71
  6. Step 6: Final answer
    x = 87,108,707,280.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.