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Finding the Third Proportional to 26,936,742,112 and 37,884,725,572

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Solution

The third proportional to 26,936,742,112 and 37,884,725,572 is: 53,282,331,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,936,742,112 : 37,884,725,572 = 37,884,725,572 : x
  2. Step 2: Convert to fraction form
    26,936,742,112/37,884,725,572 = 37,884,725,572/x
  3. Step 3: Cross multiply
    26,936,742,112x = 37,884,725,572 × 37,884,725,572
  4. Step 4: Simplify right side
    26,936,742,112x = 1,435,252,431,665,750,605,824
  5. Step 5: Solve for x
    x = 1,435,252,431,665,750,605,824/26,936,742,112
  6. Step 6: Final answer
    x = 53,282,331,831.30

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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.