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Finding the Third Proportional to 13,015,071,073 and 18,328,088,070.50

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Solution

The third proportional to 13,015,071,073 and 18,328,088,070.50 is: 25,809,986,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015,071,073 : 18,328,088,070.50 = 18,328,088,070.50 : x
  2. Step 2: Convert to fraction form
    13,015,071,073/18,328,088,070.50 = 18,328,088,070.50/x
  3. Step 3: Cross multiply
    13,015,071,073x = 18,328,088,070.50 × 18,328,088,070.50
  4. Step 4: Simplify right side
    13,015,071,073x = 335,918,812,320,004,440,064
  5. Step 5: Solve for x
    x = 335,918,812,320,004,440,064/13,015,071,073
  6. Step 6: Final answer
    x = 25,809,986,778.86

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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.