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Finding the Third Proportional to 23,911,296.19 and 49,523,941.69

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Solution

The third proportional to 23,911,296.19 and 49,523,941.69 is: 102,571,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911,296.19 : 49,523,941.69 = 49,523,941.69 : x
  2. Step 2: Convert to fraction form
    23,911,296.19/49,523,941.69 = 49,523,941.69/x
  3. Step 3: Cross multiply
    23,911,296.19x = 49,523,941.69 × 49,523,941.69
  4. Step 4: Simplify right side
    23,911,296.19x = 2,452,620,800,266,900.50
  5. Step 5: Solve for x
    x = 2,452,620,800,266,900.50/23,911,296.19
  6. Step 6: Final answer
    x = 102,571,637.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.