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Finding the Third Proportional to 12,280,887,825.50 and 18,864,946,127.50

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Solution

The third proportional to 12,280,887,825.50 and 18,864,946,127.50 is: 28,978,865,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280,887,825.50 : 18,864,946,127.50 = 18,864,946,127.50 : x
  2. Step 2: Convert to fraction form
    12,280,887,825.50/18,864,946,127.50 = 18,864,946,127.50/x
  3. Step 3: Cross multiply
    12,280,887,825.50x = 18,864,946,127.50 × 18,864,946,127.50
  4. Step 4: Simplify right side
    12,280,887,825.50x = 355,886,192,393,477,226,496
  5. Step 5: Solve for x
    x = 355,886,192,393,477,226,496/12,280,887,825.50
  6. Step 6: Final answer
    x = 28,978,865,164.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.