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Finding the Third Proportional to 4,942,035 and 10,683,526.50

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Solution

The third proportional to 4,942,035 and 10,683,526.50 is: 23,095,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,035 : 10,683,526.50 = 10,683,526.50 : x
  2. Step 2: Convert to fraction form
    4,942,035/10,683,526.50 = 10,683,526.50/x
  3. Step 3: Cross multiply
    4,942,035x = 10,683,526.50 × 10,683,526.50
  4. Step 4: Simplify right side
    4,942,035x = 114,137,738,476,202.25
  5. Step 5: Solve for x
    x = 114,137,738,476,202.25/4,942,035
  6. Step 6: Final answer
    x = 23,095,291.41

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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.