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Finding the Third Proportional to 31,955,468,616 and 69,472,957,356

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Solution

The third proportional to 31,955,468,616 and 69,472,957,356 is: 151,038,054,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955,468,616 : 69,472,957,356 = 69,472,957,356 : x
  2. Step 2: Convert to fraction form
    31,955,468,616/69,472,957,356 = 69,472,957,356/x
  3. Step 3: Cross multiply
    31,955,468,616x = 69,472,957,356 × 69,472,957,356
  4. Step 4: Simplify right side
    31,955,468,616x = 4,826,491,803,788,594,118,656
  5. Step 5: Solve for x
    x = 4,826,491,803,788,594,118,656/31,955,468,616
  6. Step 6: Final answer
    x = 151,038,054,293.22

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Why These Related Problems?

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