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Finding the Third Proportional to 30,987,970,816 and 66,284,156,680

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Solution

The third proportional to 30,987,970,816 and 66,284,156,680 is: 141,783,708,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987,970,816 : 66,284,156,680 = 66,284,156,680 : x
  2. Step 2: Convert to fraction form
    30,987,970,816/66,284,156,680 = 66,284,156,680/x
  3. Step 3: Cross multiply
    30,987,970,816x = 66,284,156,680 × 66,284,156,680
  4. Step 4: Simplify right side
    30,987,970,816x = 4,393,589,426,778,788,593,664
  5. Step 5: Solve for x
    x = 4,393,589,426,778,788,593,664/30,987,970,816
  6. Step 6: Final answer
    x = 141,783,708,680.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.