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Finding the Third Proportional to 607,339,707,580 and 1,306,081,952,696

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Solution

The third proportional to 607,339,707,580 and 1,306,081,952,696 is: 2,808,724,748,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,339,707,580 : 1,306,081,952,696 = 1,306,081,952,696 : x
  2. Step 2: Convert to fraction form
    607,339,707,580/1,306,081,952,696 = 1,306,081,952,696/x
  3. Step 3: Cross multiply
    607,339,707,580x = 1,306,081,952,696 × 1,306,081,952,696
  4. Step 4: Simplify right side
    607,339,707,580x = 1,705,850,067,158,196,503,445,504
  5. Step 5: Solve for x
    x = 1,705,850,067,158,196,503,445,504/607,339,707,580
  6. Step 6: Final answer
    x = 2,808,724,748,057.90

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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.