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Finding the Third Proportional to 76,452,270 and 165,075,948

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Solution

The third proportional to 76,452,270 and 165,075,948 is: 356,432,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452,270 : 165,075,948 = 165,075,948 : x
  2. Step 2: Convert to fraction form
    76,452,270/165,075,948 = 165,075,948/x
  3. Step 3: Cross multiply
    76,452,270x = 165,075,948 × 165,075,948
  4. Step 4: Simplify right side
    76,452,270x = 27,250,068,608,098,704
  5. Step 5: Solve for x
    x = 27,250,068,608,098,704/76,452,270
  6. Step 6: Final answer
    x = 356,432,433.05

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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.