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Finding the Third Proportional to 76,452,273 and 165,075,954

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Solution

The third proportional to 76,452,273 and 165,075,954 is: 356,432,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452,273 : 165,075,954 = 165,075,954 : x
  2. Step 2: Convert to fraction form
    76,452,273/165,075,954 = 165,075,954/x
  3. Step 3: Cross multiply
    76,452,273x = 165,075,954 × 165,075,954
  4. Step 4: Simplify right side
    76,452,273x = 27,250,070,589,010,116
  5. Step 5: Solve for x
    x = 27,250,070,589,010,116/76,452,273
  6. Step 6: Final answer
    x = 356,432,444.97

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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.