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Finding the Third Proportional to 23,502,214.50 and 51,544,510.50

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Solution

The third proportional to 23,502,214.50 and 51,544,510.50 is: 113,046,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502,214.50 : 51,544,510.50 = 51,544,510.50 : x
  2. Step 2: Convert to fraction form
    23,502,214.50/51,544,510.50 = 51,544,510.50/x
  3. Step 3: Cross multiply
    23,502,214.50x = 51,544,510.50 × 51,544,510.50
  4. Step 4: Simplify right side
    23,502,214.50x = 2,656,836,562,684,610
  5. Step 5: Solve for x
    x = 2,656,836,562,684,610/23,502,214.50
  6. Step 6: Final answer
    x = 113,046,222.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.