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Finding the Third Proportional to 6,945,999,872 and 14,900,325,120

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Solution

The third proportional to 6,945,999,872 and 14,900,325,120 is: 31,963,675,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945,999,872 : 14,900,325,120 = 14,900,325,120 : x
  2. Step 2: Convert to fraction form
    6,945,999,872/14,900,325,120 = 14,900,325,120/x
  3. Step 3: Cross multiply
    6,945,999,872x = 14,900,325,120 × 14,900,325,120
  4. Step 4: Simplify right side
    6,945,999,872x = 222,019,688,681,703,014,400
  5. Step 5: Solve for x
    x = 222,019,688,681,703,014,400/6,945,999,872
  6. Step 6: Final answer
    x = 31,963,675,895.92

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