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Finding the Third Proportional to 69,384,884,028 and 93,616,500,156

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Solution

The third proportional to 69,384,884,028 and 93,616,500,156 is: 126,310,639,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384,884,028 : 93,616,500,156 = 93,616,500,156 : x
  2. Step 2: Convert to fraction form
    69,384,884,028/93,616,500,156 = 93,616,500,156/x
  3. Step 3: Cross multiply
    69,384,884,028x = 93,616,500,156 × 93,616,500,156
  4. Step 4: Simplify right side
    69,384,884,028x = 8,764,049,101,458,348,441,600
  5. Step 5: Solve for x
    x = 8,764,049,101,458,348,441,600/69,384,884,028
  6. Step 6: Final answer
    x = 126,310,639,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.