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Finding the Third Proportional to 32,453,720,901 and 70,494,167,166.75

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Solution

The third proportional to 32,453,720,901 and 70,494,167,166.75 is: 153,123,508,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453,720,901 : 70,494,167,166.75 = 70,494,167,166.75 : x
  2. Step 2: Convert to fraction form
    32,453,720,901/70,494,167,166.75 = 70,494,167,166.75/x
  3. Step 3: Cross multiply
    32,453,720,901x = 70,494,167,166.75 × 70,494,167,166.75
  4. Step 4: Simplify right side
    32,453,720,901x = 4,969,427,604,533,693,906,944
  5. Step 5: Solve for x
    x = 4,969,427,604,533,693,906,944/32,453,720,901
  6. Step 6: Final answer
    x = 153,123,508,385.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.