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Finding the Third Proportional to 317,678,178,265.58 and 680,677,319,626.56

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Solution

The third proportional to 317,678,178,265.58 and 680,677,319,626.56 is: 1,458,462,195,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,678,178,265.58 : 680,677,319,626.56 = 680,677,319,626.56 : x
  2. Step 2: Convert to fraction form
    317,678,178,265.58/680,677,319,626.56 = 680,677,319,626.56/x
  3. Step 3: Cross multiply
    317,678,178,265.58x = 680,677,319,626.56 × 680,677,319,626.56
  4. Step 4: Simplify right side
    317,678,178,265.58x = 463,321,613,453,998,191,280,128
  5. Step 5: Solve for x
    x = 463,321,613,453,998,191,280,128/317,678,178,265.58
  6. Step 6: Final answer
    x = 1,458,462,195,872.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.