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Finding the Third Proportional to 607,339,706,971.52 and 1,306,081,951,533

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Solution

The third proportional to 607,339,706,971.52 and 1,306,081,951,533 is: 2,808,724,745,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,339,706,971.52 : 1,306,081,951,533 = 1,306,081,951,533 : x
  2. Step 2: Convert to fraction form
    607,339,706,971.52/1,306,081,951,533 = 1,306,081,951,533/x
  3. Step 3: Cross multiply
    607,339,706,971.52x = 1,306,081,951,533 × 1,306,081,951,533
  4. Step 4: Simplify right side
    607,339,706,971.52x = 1,705,850,064,120,249,633,996,800
  5. Step 5: Solve for x
    x = 1,705,850,064,120,249,633,996,800/607,339,706,971.52
  6. Step 6: Final answer
    x = 2,808,724,745,869.85

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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.