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Finding the Third Proportional to 607,339,707,512 and 1,306,081,952,672

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Solution

The third proportional to 607,339,707,512 and 1,306,081,952,672 is: 2,808,724,748,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,339,707,512 : 1,306,081,952,672 = 1,306,081,952,672 : x
  2. Step 2: Convert to fraction form
    607,339,707,512/1,306,081,952,672 = 1,306,081,952,672/x
  3. Step 3: Cross multiply
    607,339,707,512x = 1,306,081,952,672 × 1,306,081,952,672
  4. Step 4: Simplify right side
    607,339,707,512x = 1,705,850,067,095,504,476,438,528
  5. Step 5: Solve for x
    x = 1,705,850,067,095,504,476,438,528/607,339,707,512
  6. Step 6: Final answer
    x = 2,808,724,748,269.16

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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.