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Finding the Third Proportional to 4,190,920,324 and 6,984,446,262

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Solution

The third proportional to 4,190,920,324 and 6,984,446,262 is: 11,640,042,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,920,324 : 6,984,446,262 = 6,984,446,262 : x
  2. Step 2: Convert to fraction form
    4,190,920,324/6,984,446,262 = 6,984,446,262/x
  3. Step 3: Cross multiply
    4,190,920,324x = 6,984,446,262 × 6,984,446,262
  4. Step 4: Simplify right side
    4,190,920,324x = 48,782,489,586,765,774,848
  5. Step 5: Solve for x
    x = 48,782,489,586,765,774,848/4,190,920,324
  6. Step 6: Final answer
    x = 11,640,042,237.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.