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Finding the Third Proportional to 47,024,615.25 and 72,633,668.63

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Solution

The third proportional to 47,024,615.25 and 72,633,668.63 is: 112,189,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024,615.25 : 72,633,668.63 = 72,633,668.63 : x
  2. Step 2: Convert to fraction form
    47,024,615.25/72,633,668.63 = 72,633,668.63/x
  3. Step 3: Cross multiply
    47,024,615.25x = 72,633,668.63 × 72,633,668.63
  4. Step 4: Simplify right side
    47,024,615.25x = 5,275,649,817,926,309
  5. Step 5: Solve for x
    x = 5,275,649,817,926,309/47,024,615.25
  6. Step 6: Final answer
    x = 112,189,111.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.