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Finding the Third Proportional to 59,957,908,896 and 133,321,550,496

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Solution

The third proportional to 59,957,908,896 and 133,321,550,496 is: 296,451,896,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,957,908,896 : 133,321,550,496 = 133,321,550,496 : x
  2. Step 2: Convert to fraction form
    59,957,908,896/133,321,550,496 = 133,321,550,496/x
  3. Step 3: Cross multiply
    59,957,908,896x = 133,321,550,496 × 133,321,550,496
  4. Step 4: Simplify right side
    59,957,908,896x = 17,774,635,826,657,477,263,360
  5. Step 5: Solve for x
    x = 17,774,635,826,657,477,263,360/59,957,908,896
  6. Step 6: Final answer
    x = 296,451,896,904.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.