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Finding the Third Proportional to 680,034,504 and 1,441,790,262

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Solution

The third proportional to 680,034,504 and 1,441,790,262 is: 3,056,843,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,034,504 : 1,441,790,262 = 1,441,790,262 : x
  2. Step 2: Convert to fraction form
    680,034,504/1,441,790,262 = 1,441,790,262/x
  3. Step 3: Cross multiply
    680,034,504x = 1,441,790,262 × 1,441,790,262
  4. Step 4: Simplify right side
    680,034,504x = 2,078,759,159,598,028,544
  5. Step 5: Solve for x
    x = 2,078,759,159,598,028,544/680,034,504
  6. Step 6: Final answer
    x = 3,056,843,656.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.