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Finding the Third Proportional to 117,071,351 and 260,318,008

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Solution

The third proportional to 117,071,351 and 260,318,008 is: 578,839,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,071,351 : 260,318,008 = 260,318,008 : x
  2. Step 2: Convert to fraction form
    117,071,351/260,318,008 = 260,318,008/x
  3. Step 3: Cross multiply
    117,071,351x = 260,318,008 × 260,318,008
  4. Step 4: Simplify right side
    117,071,351x = 67,765,465,289,088,064
  5. Step 5: Solve for x
    x = 67,765,465,289,088,064/117,071,351
  6. Step 6: Final answer
    x = 578,839,013.22

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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.