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Finding the Third Proportional to 58,277,848,428 and 125,394,605,784

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Solution

The third proportional to 58,277,848,428 and 125,394,605,784 is: 269,807,612,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,277,848,428 : 125,394,605,784 = 125,394,605,784 : x
  2. Step 2: Convert to fraction form
    58,277,848,428/125,394,605,784 = 125,394,605,784/x
  3. Step 3: Cross multiply
    58,277,848,428x = 125,394,605,784 × 125,394,605,784
  4. Step 4: Simplify right side
    58,277,848,428x = 15,723,807,159,724,766,396,416
  5. Step 5: Solve for x
    x = 15,723,807,159,724,766,396,416/58,277,848,428
  6. Step 6: Final answer
    x = 269,807,612,735.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.