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Finding the Third Proportional to 38,308,955,744 and 89,507,006,303

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Solution

The third proportional to 38,308,955,744 and 89,507,006,303 is: 209,128,753,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308,955,744 : 89,507,006,303 = 89,507,006,303 : x
  2. Step 2: Convert to fraction form
    38,308,955,744/89,507,006,303 = 89,507,006,303/x
  3. Step 3: Cross multiply
    38,308,955,744x = 89,507,006,303 × 89,507,006,303
  4. Step 4: Simplify right side
    38,308,955,744x = 8,011,504,177,325,281,378,304
  5. Step 5: Solve for x
    x = 8,011,504,177,325,281,378,304/38,308,955,744
  6. Step 6: Final answer
    x = 209,128,753,883.62

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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.