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Finding the Third Proportional to 1,102,138,261 and 2,379,602,844

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Solution

The third proportional to 1,102,138,261 and 2,379,602,844 is: 5,137,748,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,138,261 : 2,379,602,844 = 2,379,602,844 : x
  2. Step 2: Convert to fraction form
    1,102,138,261/2,379,602,844 = 2,379,602,844/x
  3. Step 3: Cross multiply
    1,102,138,261x = 2,379,602,844 × 2,379,602,844
  4. Step 4: Simplify right side
    1,102,138,261x = 5,662,509,695,172,888,576
  5. Step 5: Solve for x
    x = 5,662,509,695,172,888,576/1,102,138,261
  6. Step 6: Final answer
    x = 5,137,748,951.78

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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.