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Finding the Third Proportional to 870,622,733,760 and 1,894,100,833,141

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Solution

The third proportional to 870,622,733,760 and 1,894,100,833,141 is: 4,120,749,237,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,622,733,760 : 1,894,100,833,141 = 1,894,100,833,141 : x
  2. Step 2: Convert to fraction form
    870,622,733,760/1,894,100,833,141 = 1,894,100,833,141/x
  3. Step 3: Cross multiply
    870,622,733,760x = 1,894,100,833,141 × 1,894,100,833,141
  4. Step 4: Simplify right side
    870,622,733,760x = 3,587,617,966,105,430,425,862,144
  5. Step 5: Solve for x
    x = 3,587,617,966,105,430,425,862,144/870,622,733,760
  6. Step 6: Final answer
    x = 4,120,749,237,286.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.