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Finding the Third Proportional to 47,075,522 and 101,582,450

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Solution

The third proportional to 47,075,522 and 101,582,450 is: 219,200,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075,522 : 101,582,450 = 101,582,450 : x
  2. Step 2: Convert to fraction form
    47,075,522/101,582,450 = 101,582,450/x
  3. Step 3: Cross multiply
    47,075,522x = 101,582,450 × 101,582,450
  4. Step 4: Simplify right side
    47,075,522x = 10,318,994,148,002,500
  5. Step 5: Solve for x
    x = 10,318,994,148,002,500/47,075,522
  6. Step 6: Final answer
    x = 219,200,843.87

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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.