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Finding the Third Proportional to 53,744,163 and 81,061,663.50

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Solution

The third proportional to 53,744,163 and 81,061,663.50 is: 122,264,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744,163 : 81,061,663.50 = 81,061,663.50 : x
  2. Step 2: Convert to fraction form
    53,744,163/81,061,663.50 = 81,061,663.50/x
  3. Step 3: Cross multiply
    53,744,163x = 81,061,663.50 × 81,061,663.50
  4. Step 4: Simplify right side
    53,744,163x = 6,570,993,289,387,232
  5. Step 5: Solve for x
    x = 6,570,993,289,387,232/53,744,163
  6. Step 6: Final answer
    x = 122,264,315.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.