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Finding the Third Proportional to 117,071,350 and 260,318,006

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Solution

The third proportional to 117,071,350 and 260,318,006 is: 578,839,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,071,350 : 260,318,006 = 260,318,006 : x
  2. Step 2: Convert to fraction form
    117,071,350/260,318,006 = 260,318,006/x
  3. Step 3: Cross multiply
    117,071,350x = 260,318,006 × 260,318,006
  4. Step 4: Simplify right side
    117,071,350x = 67,765,464,247,816,032
  5. Step 5: Solve for x
    x = 67,765,464,247,816,032/117,071,350
  6. Step 6: Final answer
    x = 578,839,009.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.