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Finding the Third Proportional to 3,029,400 and 6,484,333.50

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Solution

The third proportional to 3,029,400 and 6,484,333.50 is: 13,879,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,400 : 6,484,333.50 = 6,484,333.50 : x
  2. Step 2: Convert to fraction form
    3,029,400/6,484,333.50 = 6,484,333.50/x
  3. Step 3: Cross multiply
    3,029,400x = 6,484,333.50 × 6,484,333.50
  4. Step 4: Simplify right side
    3,029,400x = 42,046,580,939,222.25
  5. Step 5: Solve for x
    x = 42,046,580,939,222.25/3,029,400
  6. Step 6: Final answer
    x = 13,879,507.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.