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Finding the Third Proportional to 2,219,497,100 and 4,829,715,094

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Solution

The third proportional to 2,219,497,100 and 4,829,715,094 is: 10,509,654,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,497,100 : 4,829,715,094 = 4,829,715,094 : x
  2. Step 2: Convert to fraction form
    2,219,497,100/4,829,715,094 = 4,829,715,094/x
  3. Step 3: Cross multiply
    2,219,497,100x = 4,829,715,094 × 4,829,715,094
  4. Step 4: Simplify right side
    2,219,497,100x = 23,326,147,889,211,428,864
  5. Step 5: Solve for x
    x = 23,326,147,889,211,428,864/2,219,497,100
  6. Step 6: Final answer
    x = 10,509,654,592.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.