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Finding the Third Proportional to 5,075,040 and 11,159,484

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Solution

The third proportional to 5,075,040 and 11,159,484 is: 24,538,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,040 : 11,159,484 = 11,159,484 : x
  2. Step 2: Convert to fraction form
    5,075,040/11,159,484 = 11,159,484/x
  3. Step 3: Cross multiply
    5,075,040x = 11,159,484 × 11,159,484
  4. Step 4: Simplify right side
    5,075,040x = 124,534,083,146,256
  5. Step 5: Solve for x
    x = 124,534,083,146,256/5,075,040
  6. Step 6: Final answer
    x = 24,538,542.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.