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Finding the Third Proportional to 4,942,043 and 10,683,542.50

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Solution

The third proportional to 4,942,043 and 10,683,542.50 is: 23,095,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,043 : 10,683,542.50 = 10,683,542.50 : x
  2. Step 2: Convert to fraction form
    4,942,043/10,683,542.50 = 10,683,542.50/x
  3. Step 3: Cross multiply
    4,942,043x = 10,683,542.50 × 10,683,542.50
  4. Step 4: Simplify right side
    4,942,043x = 114,138,080,349,306.25
  5. Step 5: Solve for x
    x = 114,138,080,349,306.25/4,942,043
  6. Step 6: Final answer
    x = 23,095,323.20

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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.