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Finding the Third Proportional to 46,809,507.66 and 74,548,808.16

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Solution

The third proportional to 46,809,507.66 and 74,548,808.16 is: 118,726,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809,507.66 : 74,548,808.16 = 74,548,808.16 : x
  2. Step 2: Convert to fraction form
    46,809,507.66/74,548,808.16 = 74,548,808.16/x
  3. Step 3: Cross multiply
    46,809,507.66x = 74,548,808.16 × 74,548,808.16
  4. Step 4: Simplify right side
    46,809,507.66x = 5,557,524,797,517,367
  5. Step 5: Solve for x
    x = 5,557,524,797,517,367/46,809,507.66
  6. Step 6: Final answer
    x = 118,726,409.99

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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.