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Finding the Third Proportional to 49,710,554,388 and 109,045,328,110

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Solution

The third proportional to 49,710,554,388 and 109,045,328,110 is: 239,202,393,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710,554,388 : 109,045,328,110 = 109,045,328,110 : x
  2. Step 2: Convert to fraction form
    49,710,554,388/109,045,328,110 = 109,045,328,110/x
  3. Step 3: Cross multiply
    49,710,554,388x = 109,045,328,110 × 109,045,328,110
  4. Step 4: Simplify right side
    49,710,554,388x = 11,890,883,582,617,555,304,448
  5. Step 5: Solve for x
    x = 11,890,883,582,617,555,304,448/49,710,554,388
  6. Step 6: Final answer
    x = 239,202,393,314.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.