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Finding the Third Proportional to 6,075,003 and 12,832,893

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Solution

The third proportional to 6,075,003 and 12,832,893 is: 27,108,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075,003 : 12,832,893 = 12,832,893 : x
  2. Step 2: Convert to fraction form
    6,075,003/12,832,893 = 12,832,893/x
  3. Step 3: Cross multiply
    6,075,003x = 12,832,893 × 12,832,893
  4. Step 4: Simplify right side
    6,075,003x = 164,683,142,749,449
  5. Step 5: Solve for x
    x = 164,683,142,749,449/6,075,003
  6. Step 6: Final answer
    x = 27,108,322.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.