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Finding the Third Proportional to 26,936,742,108 and 37,884,725,566

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Solution

The third proportional to 26,936,742,108 and 37,884,725,566 is: 53,282,331,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,936,742,108 : 37,884,725,566 = 37,884,725,566 : x
  2. Step 2: Convert to fraction form
    26,936,742,108/37,884,725,566 = 37,884,725,566/x
  3. Step 3: Cross multiply
    26,936,742,108x = 37,884,725,566 × 37,884,725,566
  4. Step 4: Simplify right side
    26,936,742,108x = 1,435,252,431,211,133,927,424
  5. Step 5: Solve for x
    x = 1,435,252,431,211,133,927,424/26,936,742,108
  6. Step 6: Final answer
    x = 53,282,331,822.34

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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.