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Finding the Third Proportional to 6,863,085 and 10,065,235.50

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Solution

The third proportional to 6,863,085 and 10,065,235.50 is: 14,761,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,085 : 10,065,235.50 = 10,065,235.50 : x
  2. Step 2: Convert to fraction form
    6,863,085/10,065,235.50 = 10,065,235.50/x
  3. Step 3: Cross multiply
    6,863,085x = 10,065,235.50 × 10,065,235.50
  4. Step 4: Simplify right side
    6,863,085x = 101,308,965,670,460.25
  5. Step 5: Solve for x
    x = 101,308,965,670,460.25/6,863,085
  6. Step 6: Final answer
    x = 14,761,432.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.