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Finding the Third Proportional to 1,102,137,918 and 2,379,602,024

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Solution

The third proportional to 1,102,137,918 and 2,379,602,024 is: 5,137,747,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,137,918 : 2,379,602,024 = 2,379,602,024 : x
  2. Step 2: Convert to fraction form
    1,102,137,918/2,379,602,024 = 2,379,602,024/x
  3. Step 3: Cross multiply
    1,102,137,918x = 2,379,602,024 × 2,379,602,024
  4. Step 4: Simplify right side
    1,102,137,918x = 5,662,505,792,624,897,024
  5. Step 5: Solve for x
    x = 5,662,505,792,624,897,024/1,102,137,918
  6. Step 6: Final answer
    x = 5,137,747,009.83

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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.