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Finding the Third Proportional to 47,075,524 and 101,582,454

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Solution

The third proportional to 47,075,524 and 101,582,454 is: 219,200,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075,524 : 101,582,454 = 101,582,454 : x
  2. Step 2: Convert to fraction form
    47,075,524/101,582,454 = 101,582,454/x
  3. Step 3: Cross multiply
    47,075,524x = 101,582,454 × 101,582,454
  4. Step 4: Simplify right side
    47,075,524x = 10,318,994,960,662,116
  5. Step 5: Solve for x
    x = 10,318,994,960,662,116/47,075,524
  6. Step 6: Final answer
    x = 219,200,851.82

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