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Finding the Third Proportional to 402,060,216 and 870,883,113

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Solution

The third proportional to 402,060,216 and 870,883,113 is: 1,886,377,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,060,216 : 870,883,113 = 870,883,113 : x
  2. Step 2: Convert to fraction form
    402,060,216/870,883,113 = 870,883,113/x
  3. Step 3: Cross multiply
    402,060,216x = 870,883,113 × 870,883,113
  4. Step 4: Simplify right side
    402,060,216x = 758,437,396,508,570,752
  5. Step 5: Solve for x
    x = 758,437,396,508,570,752/402,060,216
  6. Step 6: Final answer
    x = 1,886,377,627.84

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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.