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Finding the Third Proportional to 14,323,768,320 and 30,824,319,624

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Solution

The third proportional to 14,323,768,320 and 30,824,319,624 is: 66,333,010,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323,768,320 : 30,824,319,624 = 30,824,319,624 : x
  2. Step 2: Convert to fraction form
    14,323,768,320/30,824,319,624 = 30,824,319,624/x
  3. Step 3: Cross multiply
    14,323,768,320x = 30,824,319,624 × 30,824,319,624
  4. Step 4: Simplify right side
    14,323,768,320x = 950,138,680,282,511,441,920
  5. Step 5: Solve for x
    x = 950,138,680,282,511,441,920/14,323,768,320
  6. Step 6: Final answer
    x = 66,333,010,912.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.