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Finding the Third Proportional to 47,075,360 and 101,582,136

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Solution

The third proportional to 47,075,360 and 101,582,136 is: 219,200,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075,360 : 101,582,136 = 101,582,136 : x
  2. Step 2: Convert to fraction form
    47,075,360/101,582,136 = 101,582,136/x
  3. Step 3: Cross multiply
    47,075,360x = 101,582,136 × 101,582,136
  4. Step 4: Simplify right side
    47,075,360x = 10,318,930,354,322,496
  5. Step 5: Solve for x
    x = 10,318,930,354,322,496/47,075,360
  6. Step 6: Final answer
    x = 219,200,243.06

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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.