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Finding the Third Proportional to 9,238,152,998 and 13,347,538,617

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Solution

The third proportional to 9,238,152,998 and 13,347,538,617 is: 19,284,892,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,152,998 : 13,347,538,617 = 13,347,538,617 : x
  2. Step 2: Convert to fraction form
    9,238,152,998/13,347,538,617 = 13,347,538,617/x
  3. Step 3: Cross multiply
    9,238,152,998x = 13,347,538,617 × 13,347,538,617
  4. Step 4: Simplify right side
    9,238,152,998x = 178,156,787,132,306,259,968
  5. Step 5: Solve for x
    x = 178,156,787,132,306,259,968/9,238,152,998
  6. Step 6: Final answer
    x = 19,284,892,463.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.