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Finding the Third Proportional to 3,075,940 and 6,730,884

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Solution

The third proportional to 3,075,940 and 6,730,884 is: 14,728,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,940 : 6,730,884 = 6,730,884 : x
  2. Step 2: Convert to fraction form
    3,075,940/6,730,884 = 6,730,884/x
  3. Step 3: Cross multiply
    3,075,940x = 6,730,884 × 6,730,884
  4. Step 4: Simplify right side
    3,075,940x = 45,304,799,421,456
  5. Step 5: Solve for x
    x = 45,304,799,421,456/3,075,940
  6. Step 6: Final answer
    x = 14,728,765.65

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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.