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Finding the Third Proportional to 30,735,708.75 and 46,732,920.75

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Solution

The third proportional to 30,735,708.75 and 46,732,920.75 is: 71,056,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735,708.75 : 46,732,920.75 = 46,732,920.75 : x
  2. Step 2: Convert to fraction form
    30,735,708.75/46,732,920.75 = 46,732,920.75/x
  3. Step 3: Cross multiply
    30,735,708.75x = 46,732,920.75 × 46,732,920.75
  4. Step 4: Simplify right side
    30,735,708.75x = 2,183,965,881,825,780.50
  5. Step 5: Solve for x
    x = 2,183,965,881,825,780.50/30,735,708.75
  6. Step 6: Final answer
    x = 71,056,304.56

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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.