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Finding the Third Proportional to 14,171,353,110 and 30,445,780,640

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Solution

The third proportional to 14,171,353,110 and 30,445,780,640 is: 65,409,813,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171,353,110 : 30,445,780,640 = 30,445,780,640 : x
  2. Step 2: Convert to fraction form
    14,171,353,110/30,445,780,640 = 30,445,780,640/x
  3. Step 3: Cross multiply
    14,171,353,110x = 30,445,780,640 × 30,445,780,640
  4. Step 4: Simplify right side
    14,171,353,110x = 926,945,558,778,998,816,768
  5. Step 5: Solve for x
    x = 926,945,558,778,998,816,768/14,171,353,110
  6. Step 6: Final answer
    x = 65,409,813,133.86

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Why These Related Problems?

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