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Finding the Third Proportional to 13,015,071,078 and 18,328,088,076

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Solution

The third proportional to 13,015,071,078 and 18,328,088,076 is: 25,809,986,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015,071,078 : 18,328,088,076 = 18,328,088,076 : x
  2. Step 2: Convert to fraction form
    13,015,071,078/18,328,088,076 = 18,328,088,076/x
  3. Step 3: Cross multiply
    13,015,071,078x = 18,328,088,076 × 18,328,088,076
  4. Step 4: Simplify right side
    13,015,071,078x = 335,918,812,521,613,361,152
  5. Step 5: Solve for x
    x = 335,918,812,521,613,361,152/13,015,071,078
  6. Step 6: Final answer
    x = 25,809,986,784.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.