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Finding the Third Proportional to 2,186,172,318 and 4,720,701,325.50

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Solution

The third proportional to 2,186,172,318 and 4,720,701,325.50 is: 10,193,625,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,172,318 : 4,720,701,325.50 = 4,720,701,325.50 : x
  2. Step 2: Convert to fraction form
    2,186,172,318/4,720,701,325.50 = 4,720,701,325.50/x
  3. Step 3: Cross multiply
    2,186,172,318x = 4,720,701,325.50 × 4,720,701,325.50
  4. Step 4: Simplify right side
    2,186,172,318x = 22,285,021,004,577,456,128
  5. Step 5: Solve for x
    x = 22,285,021,004,577,456,128/2,186,172,318
  6. Step 6: Final answer
    x = 10,193,625,095.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.