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Finding the Third Proportional to 70,642,905,138 and 108,583,210,027

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Solution

The third proportional to 70,642,905,138 and 108,583,210,027 is: 166,900,178,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642,905,138 : 108,583,210,027 = 108,583,210,027 : x
  2. Step 2: Convert to fraction form
    70,642,905,138/108,583,210,027 = 108,583,210,027/x
  3. Step 3: Cross multiply
    70,642,905,138x = 108,583,210,027 × 108,583,210,027
  4. Step 4: Simplify right side
    70,642,905,138x = 11,790,313,499,767,592,714,240
  5. Step 5: Solve for x
    x = 11,790,313,499,767,592,714,240/70,642,905,138
  6. Step 6: Final answer
    x = 166,900,178,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.