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Finding the Third Proportional to 3,075,840 and 6,730,939.50

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Solution

The third proportional to 3,075,840 and 6,730,939.50 is: 14,729,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,840 : 6,730,939.50 = 6,730,939.50 : x
  2. Step 2: Convert to fraction form
    3,075,840/6,730,939.50 = 6,730,939.50/x
  3. Step 3: Cross multiply
    3,075,840x = 6,730,939.50 × 6,730,939.50
  4. Step 4: Simplify right side
    3,075,840x = 45,305,546,552,660.25
  5. Step 5: Solve for x
    x = 45,305,546,552,660.25/3,075,840
  6. Step 6: Final answer
    x = 14,729,487.41

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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.