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Finding the Third Proportional to 52,807,311 and 84,026,794.50

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Solution

The third proportional to 52,807,311 and 84,026,794.50 is: 133,703,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807,311 : 84,026,794.50 = 84,026,794.50 : x
  2. Step 2: Convert to fraction form
    52,807,311/84,026,794.50 = 84,026,794.50/x
  3. Step 3: Cross multiply
    52,807,311x = 84,026,794.50 × 84,026,794.50
  4. Step 4: Simplify right side
    52,807,311x = 7,060,502,193,945,230
  5. Step 5: Solve for x
    x = 7,060,502,193,945,230/52,807,311
  6. Step 6: Final answer
    x = 133,703,119.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.