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Finding the Third Proportional to 26,936,742,110 and 37,884,725,569

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Solution

The third proportional to 26,936,742,110 and 37,884,725,569 is: 53,282,331,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,936,742,110 : 37,884,725,569 = 37,884,725,569 : x
  2. Step 2: Convert to fraction form
    26,936,742,110/37,884,725,569 = 37,884,725,569/x
  3. Step 3: Cross multiply
    26,936,742,110x = 37,884,725,569 × 37,884,725,569
  4. Step 4: Simplify right side
    26,936,742,110x = 1,435,252,431,438,442,397,696
  5. Step 5: Solve for x
    x = 1,435,252,431,438,442,397,696/26,936,742,110
  6. Step 6: Final answer
    x = 53,282,331,826.82

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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.