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Finding the Third Proportional to 48,324,686,679 and 98,027,291,920

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Solution

The third proportional to 48,324,686,679 and 98,027,291,920 is: 198,849,710,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324,686,679 : 98,027,291,920 = 98,027,291,920 : x
  2. Step 2: Convert to fraction form
    48,324,686,679/98,027,291,920 = 98,027,291,920/x
  3. Step 3: Cross multiply
    48,324,686,679x = 98,027,291,920 × 98,027,291,920
  4. Step 4: Simplify right side
    48,324,686,679x = 9,609,349,961,168,898,228,224
  5. Step 5: Solve for x
    x = 9,609,349,961,168,898,228,224/48,324,686,679
  6. Step 6: Final answer
    x = 198,849,710,604.43

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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.