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Finding the Third Proportional to 870,622,733,751.55 and 1,894,100,833,123.20

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Solution

The third proportional to 870,622,733,751.55 and 1,894,100,833,123.20 is: 4,120,749,237,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,622,733,751.55 : 1,894,100,833,123.20 = 1,894,100,833,123.20 : x
  2. Step 2: Convert to fraction form
    870,622,733,751.55/1,894,100,833,123.20 = 1,894,100,833,123.20/x
  3. Step 3: Cross multiply
    870,622,733,751.55x = 1,894,100,833,123.20 × 1,894,100,833,123.20
  4. Step 4: Simplify right side
    870,622,733,751.55x = 3,587,617,966,037,999,976,185,856
  5. Step 5: Solve for x
    x = 3,587,617,966,037,999,976,185,856/870,622,733,751.55
  6. Step 6: Final answer
    x = 4,120,749,237,248.61

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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.