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Finding the Third Proportional to 52,807,323 and 84,026,813

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Solution

The third proportional to 52,807,323 and 84,026,813 is: 133,703,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807,323 : 84,026,813 = 84,026,813 : x
  2. Step 2: Convert to fraction form
    52,807,323/84,026,813 = 84,026,813/x
  3. Step 3: Cross multiply
    52,807,323x = 84,026,813 × 84,026,813
  4. Step 4: Simplify right side
    52,807,323x = 7,060,505,302,936,969
  5. Step 5: Solve for x
    x = 7,060,505,302,936,969/52,807,323
  6. Step 6: Final answer
    x = 133,703,147.63

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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.