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Finding the Third Proportional to 46,347,400.13 and 71,700,403.50

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Solution

The third proportional to 46,347,400.13 and 71,700,403.50 is: 110,922,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347,400.13 : 71,700,403.50 = 71,700,403.50 : x
  2. Step 2: Convert to fraction form
    46,347,400.13/71,700,403.50 = 71,700,403.50/x
  3. Step 3: Cross multiply
    46,347,400.13x = 71,700,403.50 × 71,700,403.50
  4. Step 4: Simplify right side
    46,347,400.13x = 5,140,947,862,062,812
  5. Step 5: Solve for x
    x = 5,140,947,862,062,812/46,347,400.13
  6. Step 6: Final answer
    x = 110,922,033.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.