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Finding the Third Proportional to 48,039,158,092 and 100,054,487,922

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Solution

The third proportional to 48,039,158,092 and 100,054,487,922 is: 208,390,424,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,158,092 : 100,054,487,922 = 100,054,487,922 : x
  2. Step 2: Convert to fraction form
    48,039,158,092/100,054,487,922 = 100,054,487,922/x
  3. Step 3: Cross multiply
    48,039,158,092x = 100,054,487,922 × 100,054,487,922
  4. Step 4: Simplify right side
    48,039,158,092x = 10,010,900,553,333,643,149,312
  5. Step 5: Solve for x
    x = 10,010,900,553,333,643,149,312/48,039,158,092
  6. Step 6: Final answer
    x = 208,390,424,623.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.