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Finding the Third Proportional to 70,642,905,120 and 108,583,210,002

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Solution

The third proportional to 70,642,905,120 and 108,583,210,002 is: 166,900,178,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642,905,120 : 108,583,210,002 = 108,583,210,002 : x
  2. Step 2: Convert to fraction form
    70,642,905,120/108,583,210,002 = 108,583,210,002/x
  3. Step 3: Cross multiply
    70,642,905,120x = 108,583,210,002 × 108,583,210,002
  4. Step 4: Simplify right side
    70,642,905,120x = 11,790,313,494,338,433,187,840
  5. Step 5: Solve for x
    x = 11,790,313,494,338,433,187,840/70,642,905,120
  6. Step 6: Final answer
    x = 166,900,178,783.85

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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.