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Finding the Third Proportional to 46,240,683.75 and 72,007,782.75

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Solution

The third proportional to 46,240,683.75 and 72,007,782.75 is: 112,133,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240,683.75 : 72,007,782.75 = 72,007,782.75 : x
  2. Step 2: Convert to fraction form
    46,240,683.75/72,007,782.75 = 72,007,782.75/x
  3. Step 3: Cross multiply
    46,240,683.75x = 72,007,782.75 × 72,007,782.75
  4. Step 4: Simplify right side
    46,240,683.75x = 5,185,120,776,571,198
  5. Step 5: Solve for x
    x = 5,185,120,776,571,198/46,240,683.75
  6. Step 6: Final answer
    x = 112,133,306.78

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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.