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Finding the Third Proportional to 46,042,278 and 69,046,509.75

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Solution

The third proportional to 46,042,278 and 69,046,509.75 is: 103,544,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,042,278 : 69,046,509.75 = 69,046,509.75 : x
  2. Step 2: Convert to fraction form
    46,042,278/69,046,509.75 = 69,046,509.75/x
  3. Step 3: Cross multiply
    46,042,278x = 69,046,509.75 × 69,046,509.75
  4. Step 4: Simplify right side
    46,042,278x = 4,767,420,508,656,845
  5. Step 5: Solve for x
    x = 4,767,420,508,656,845/46,042,278
  6. Step 6: Final answer
    x = 103,544,409.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.