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Finding the Third Proportional to 30,449,281.50 and 46,638,391.50

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Solution

The third proportional to 30,449,281.50 and 46,638,391.50 is: 71,434,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,281.50 : 46,638,391.50 = 46,638,391.50 : x
  2. Step 2: Convert to fraction form
    30,449,281.50/46,638,391.50 = 46,638,391.50/x
  3. Step 3: Cross multiply
    30,449,281.50x = 46,638,391.50 × 46,638,391.50
  4. Step 4: Simplify right side
    30,449,281.50x = 2,175,139,561,707,272.25
  5. Step 5: Solve for x
    x = 2,175,139,561,707,272.25/30,449,281.50
  6. Step 6: Final answer
    x = 71,434,840.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.