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Finding the Third Proportional to 53,973,276.75 and 78,935,664.38

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Solution

The third proportional to 53,973,276.75 and 78,935,664.38 is: 115,443,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973,276.75 : 78,935,664.38 = 78,935,664.38 : x
  2. Step 2: Convert to fraction form
    53,973,276.75/78,935,664.38 = 78,935,664.38/x
  3. Step 3: Cross multiply
    53,973,276.75x = 78,935,664.38 × 78,935,664.38
  4. Step 4: Simplify right side
    53,973,276.75x = 6,230,839,110,322,644
  5. Step 5: Solve for x
    x = 6,230,839,110,322,644/53,973,276.75
  6. Step 6: Final answer
    x = 115,443,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.