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Finding the Third Proportional to 46,926,322.31 and 68,709,594.09

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Solution

The third proportional to 46,926,322.31 and 68,709,594.09 is: 100,604,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926,322.31 : 68,709,594.09 = 68,709,594.09 : x
  2. Step 2: Convert to fraction form
    46,926,322.31/68,709,594.09 = 68,709,594.09/x
  3. Step 3: Cross multiply
    46,926,322.31x = 68,709,594.09 × 68,709,594.09
  4. Step 4: Simplify right side
    46,926,322.31x = 4,721,008,320,527,885
  5. Step 5: Solve for x
    x = 4,721,008,320,527,885/46,926,322.31
  6. Step 6: Final answer
    x = 100,604,694.51

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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.