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Finding the Third Proportional to 317,768,904 and 684,231,057

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Solution

The third proportional to 317,768,904 and 684,231,057 is: 1,473,310,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,768,904 : 684,231,057 = 684,231,057 : x
  2. Step 2: Convert to fraction form
    317,768,904/684,231,057 = 684,231,057/x
  3. Step 3: Cross multiply
    317,768,904x = 684,231,057 × 684,231,057
  4. Step 4: Simplify right side
    317,768,904x = 468,172,139,363,337,280
  5. Step 5: Solve for x
    x = 468,172,139,363,337,280/317,768,904
  6. Step 6: Final answer
    x = 1,473,310,111.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.