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Finding the Third Proportional to 47,836,771,436 and 102,496,805,075

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Solution

The third proportional to 47,836,771,436 and 102,496,805,075 is: 219,613,379,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836,771,436 : 102,496,805,075 = 102,496,805,075 : x
  2. Step 2: Convert to fraction form
    47,836,771,436/102,496,805,075 = 102,496,805,075/x
  3. Step 3: Cross multiply
    47,836,771,436x = 102,496,805,075 × 102,496,805,075
  4. Step 4: Simplify right side
    47,836,771,436x = 10,505,595,050,582,545,006,592
  5. Step 5: Solve for x
    x = 10,505,595,050,582,545,006,592/47,836,771,436
  6. Step 6: Final answer
    x = 219,613,379,733.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.