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Finding the Third Proportional to 5,245,573,194 and 8,564,642,149.50

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Solution

The third proportional to 5,245,573,194 and 8,564,642,149.50 is: 13,983,809,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245,573,194 : 8,564,642,149.50 = 8,564,642,149.50 : x
  2. Step 2: Convert to fraction form
    5,245,573,194/8,564,642,149.50 = 8,564,642,149.50/x
  3. Step 3: Cross multiply
    5,245,573,194x = 8,564,642,149.50 × 8,564,642,149.50
  4. Step 4: Simplify right side
    5,245,573,194x = 73,353,095,148,991,979,520
  5. Step 5: Solve for x
    x = 73,353,095,148,991,979,520/5,245,573,194
  6. Step 6: Final answer
    x = 13,983,809,287.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.