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Finding the Third Proportional to 6,464,752 and 9,641,075

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Solution

The third proportional to 6,464,752 and 9,641,075 is: 14,378,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,752 : 9,641,075 = 9,641,075 : x
  2. Step 2: Convert to fraction form
    6,464,752/9,641,075 = 9,641,075/x
  3. Step 3: Cross multiply
    6,464,752x = 9,641,075 × 9,641,075
  4. Step 4: Simplify right side
    6,464,752x = 92,950,327,155,625
  5. Step 5: Solve for x
    x = 92,950,327,155,625/6,464,752
  6. Step 6: Final answer
    x = 14,378,019.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.