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Finding the Third Proportional to 401,956,019.16 and 870,689,072.81

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Solution

The third proportional to 401,956,019.16 and 870,689,072.81 is: 1,886,025,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,956,019.16 : 870,689,072.81 = 870,689,072.81 : x
  2. Step 2: Convert to fraction form
    401,956,019.16/870,689,072.81 = 870,689,072.81/x
  3. Step 3: Cross multiply
    401,956,019.16x = 870,689,072.81 × 870,689,072.81
  4. Step 4: Simplify right side
    401,956,019.16x = 758,099,461,515,090,944
  5. Step 5: Solve for x
    x = 758,099,461,515,090,944/401,956,019.16
  6. Step 6: Final answer
    x = 1,886,025,896.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.