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Finding the Third Proportional to 30,446,412.75 and 47,216,193.75

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Solution

The third proportional to 30,446,412.75 and 47,216,193.75 is: 73,222,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446,412.75 : 47,216,193.75 = 47,216,193.75 : x
  2. Step 2: Convert to fraction form
    30,446,412.75/47,216,193.75 = 47,216,193.75/x
  3. Step 3: Cross multiply
    30,446,412.75x = 47,216,193.75 × 47,216,193.75
  4. Step 4: Simplify right side
    30,446,412.75x = 2,229,368,952,237,539
  5. Step 5: Solve for x
    x = 2,229,368,952,237,539/30,446,412.75
  6. Step 6: Final answer
    x = 73,222,713.31

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1.5x scale

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.