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Finding the Third Proportional to 5,075,840 and 10,988,032

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Solution

The third proportional to 5,075,840 and 10,988,032 is: 23,786,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,840 : 10,988,032 = 10,988,032 : x
  2. Step 2: Convert to fraction form
    5,075,840/10,988,032 = 10,988,032/x
  3. Step 3: Cross multiply
    5,075,840x = 10,988,032 × 10,988,032
  4. Step 4: Simplify right side
    5,075,840x = 120,736,847,233,024
  5. Step 5: Solve for x
    x = 120,736,847,233,024/5,075,840
  6. Step 6: Final answer
    x = 23,786,574.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.