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Finding the Third Proportional to 6,977,029,464 and 10,724,198,818.50

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Solution

The third proportional to 6,977,029,464 and 10,724,198,818.50 is: 16,483,869,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,029,464 : 10,724,198,818.50 = 10,724,198,818.50 : x
  2. Step 2: Convert to fraction form
    6,977,029,464/10,724,198,818.50 = 10,724,198,818.50/x
  3. Step 3: Cross multiply
    6,977,029,464x = 10,724,198,818.50 × 10,724,198,818.50
  4. Step 4: Simplify right side
    6,977,029,464x = 115,008,440,298,716,790,784
  5. Step 5: Solve for x
    x = 115,008,440,298,716,790,784/6,977,029,464
  6. Step 6: Final answer
    x = 16,483,869,086.71

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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.