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Finding the Third Proportional to 69,413,714,503.50 and 97,749,805,843.50

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Solution

The third proportional to 69,413,714,503.50 and 97,749,805,843.50 is: 137,653,266,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413,714,503.50 : 97,749,805,843.50 = 97,749,805,843.50 : x
  2. Step 2: Convert to fraction form
    69,413,714,503.50/97,749,805,843.50 = 97,749,805,843.50/x
  3. Step 3: Cross multiply
    69,413,714,503.50x = 97,749,805,843.50 × 97,749,805,843.50
  4. Step 4: Simplify right side
    69,413,714,503.50x = 9,555,024,542,441,947,529,216
  5. Step 5: Solve for x
    x = 9,555,024,542,441,947,529,216/69,413,714,503.50
  6. Step 6: Final answer
    x = 137,653,266,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.