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Finding the Third Proportional to 23,841,264.94 and 51,493,924.13

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Solution

The third proportional to 23,841,264.94 and 51,493,924.13 is: 111,219,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841,264.94 : 51,493,924.13 = 51,493,924.13 : x
  2. Step 2: Convert to fraction form
    23,841,264.94/51,493,924.13 = 51,493,924.13/x
  3. Step 3: Cross multiply
    23,841,264.94x = 51,493,924.13 × 51,493,924.13
  4. Step 4: Simplify right side
    23,841,264.94x = 2,651,624,221,791,257
  5. Step 5: Solve for x
    x = 2,651,624,221,791,257/23,841,264.94
  6. Step 6: Final answer
    x = 111,219,946.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.