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Finding the Third Proportional to 30,305,103 and 46,214,304.75

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Solution

The third proportional to 30,305,103 and 46,214,304.75 is: 70,475,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305,103 : 46,214,304.75 = 46,214,304.75 : x
  2. Step 2: Convert to fraction form
    30,305,103/46,214,304.75 = 46,214,304.75/x
  3. Step 3: Cross multiply
    30,305,103x = 46,214,304.75 × 46,214,304.75
  4. Step 4: Simplify right side
    30,305,103x = 2,135,761,963,525,872.50
  5. Step 5: Solve for x
    x = 2,135,761,963,525,872.50/30,305,103
  6. Step 6: Final answer
    x = 70,475,324.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.