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Finding the Third Proportional to 35,476,075 and 76,489,633

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Solution

The third proportional to 35,476,075 and 76,489,633 is: 164,918,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,476,075 : 76,489,633 = 76,489,633 : x
  2. Step 2: Convert to fraction form
    35,476,075/76,489,633 = 76,489,633/x
  3. Step 3: Cross multiply
    35,476,075x = 76,489,633 × 76,489,633
  4. Step 4: Simplify right side
    35,476,075x = 5,850,663,956,474,689
  5. Step 5: Solve for x
    x = 5,850,663,956,474,689/35,476,075
  6. Step 6: Final answer
    x = 164,918,581.23

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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.