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Finding the Third Proportional to 9,137,104,056 and 12,328,098,768

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Solution

The third proportional to 9,137,104,056 and 12,328,098,768 is: 16,633,499,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,104,056 : 12,328,098,768 = 12,328,098,768 : x
  2. Step 2: Convert to fraction form
    9,137,104,056/12,328,098,768 = 12,328,098,768/x
  3. Step 3: Cross multiply
    9,137,104,056x = 12,328,098,768 × 12,328,098,768
  4. Step 4: Simplify right side
    9,137,104,056x = 151,982,019,233,563,115,520
  5. Step 5: Solve for x
    x = 151,982,019,233,563,115,520/9,137,104,056
  6. Step 6: Final answer
    x = 16,633,499,881.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.