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Finding the Third Proportional to 38,308,955,742 and 89,507,006,298

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Solution

The third proportional to 38,308,955,742 and 89,507,006,298 is: 209,128,753,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308,955,742 : 89,507,006,298 = 89,507,006,298 : x
  2. Step 2: Convert to fraction form
    38,308,955,742/89,507,006,298 = 89,507,006,298/x
  3. Step 3: Cross multiply
    38,308,955,742x = 89,507,006,298 × 89,507,006,298
  4. Step 4: Simplify right side
    38,308,955,742x = 8,011,504,176,430,211,661,824
  5. Step 5: Solve for x
    x = 8,011,504,176,430,211,661,824/38,308,955,742
  6. Step 6: Final answer
    x = 209,128,753,871.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.