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Finding the Third Proportional to 8,493,152,146.50 and 12,739,729,314

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Solution

The third proportional to 8,493,152,146.50 and 12,739,729,314 is: 19,109,595,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493,152,146.50 : 12,739,729,314 = 12,739,729,314 : x
  2. Step 2: Convert to fraction form
    8,493,152,146.50/12,739,729,314 = 12,739,729,314/x
  3. Step 3: Cross multiply
    8,493,152,146.50x = 12,739,729,314 × 12,739,729,314
  4. Step 4: Simplify right side
    8,493,152,146.50x = 162,300,702,993,990,909,952
  5. Step 5: Solve for x
    x = 162,300,702,993,990,909,952/8,493,152,146.50
  6. Step 6: Final answer
    x = 19,109,595,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.