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Finding the Third Proportional to 2,953,075 and 6,315,632

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Solution

The third proportional to 2,953,075 and 6,315,632 is: 13,507,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,075 : 6,315,632 = 6,315,632 : x
  2. Step 2: Convert to fraction form
    2,953,075/6,315,632 = 6,315,632/x
  3. Step 3: Cross multiply
    2,953,075x = 6,315,632 × 6,315,632
  4. Step 4: Simplify right side
    2,953,075x = 39,887,207,559,424
  5. Step 5: Solve for x
    x = 39,887,207,559,424/2,953,075
  6. Step 6: Final answer
    x = 13,507,007.97

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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.