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Finding the Third Proportional to 493,608,621,172 and 695,109,710,044

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Solution

The third proportional to 493,608,621,172 and 695,109,710,044 is: 978,867,645,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608,621,172 : 695,109,710,044 = 695,109,710,044 : x
  2. Step 2: Convert to fraction form
    493,608,621,172/695,109,710,044 = 695,109,710,044/x
  3. Step 3: Cross multiply
    493,608,621,172x = 695,109,710,044 × 695,109,710,044
  4. Step 4: Simplify right side
    493,608,621,172x = 483,177,508,997,453,777,469,440
  5. Step 5: Solve for x
    x = 483,177,508,997,453,777,469,440/493,608,621,172
  6. Step 6: Final answer
    x = 978,867,645,889.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.