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Finding the Third Proportional to 48,324,686,677 and 98,027,291,916

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Solution

The third proportional to 48,324,686,677 and 98,027,291,916 is: 198,849,710,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324,686,677 : 98,027,291,916 = 98,027,291,916 : x
  2. Step 2: Convert to fraction form
    48,324,686,677/98,027,291,916 = 98,027,291,916/x
  3. Step 3: Cross multiply
    48,324,686,677x = 98,027,291,916 × 98,027,291,916
  4. Step 4: Simplify right side
    48,324,686,677x = 9,609,349,960,384,678,723,584
  5. Step 5: Solve for x
    x = 9,609,349,960,384,678,723,584/48,324,686,677
  6. Step 6: Final answer
    x = 198,849,710,596.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.