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Finding the Third Proportional to 46,796,913 and 73,028,382.75

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Solution

The third proportional to 46,796,913 and 73,028,382.75 is: 113,963,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,796,913 : 73,028,382.75 = 73,028,382.75 : x
  2. Step 2: Convert to fraction form
    46,796,913/73,028,382.75 = 73,028,382.75/x
  3. Step 3: Cross multiply
    46,796,913x = 73,028,382.75 × 73,028,382.75
  4. Step 4: Simplify right side
    46,796,913x = 5,333,144,687,080,498
  5. Step 5: Solve for x
    x = 5,333,144,687,080,498/46,796,913
  6. Step 6: Final answer
    x = 113,963,600.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.