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Finding the Third Proportional to 65,378,833,224 and 93,491,842,848

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Solution

The third proportional to 65,378,833,224 and 93,491,842,848 is: 133,693,494,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378,833,224 : 93,491,842,848 = 93,491,842,848 : x
  2. Step 2: Convert to fraction form
    65,378,833,224/93,491,842,848 = 93,491,842,848/x
  3. Step 3: Cross multiply
    65,378,833,224x = 93,491,842,848 × 93,491,842,848
  4. Step 4: Simplify right side
    65,378,833,224x = 8,740,724,679,115,128,438,784
  5. Step 5: Solve for x
    x = 8,740,724,679,115,128,438,784/65,378,833,224
  6. Step 6: Final answer
    x = 133,693,494,485.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.