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Finding the Third Proportional to 402,060,211 and 870,883,105

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Solution

The third proportional to 402,060,211 and 870,883,105 is: 1,886,377,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,060,211 : 870,883,105 = 870,883,105 : x
  2. Step 2: Convert to fraction form
    402,060,211/870,883,105 = 870,883,105/x
  3. Step 3: Cross multiply
    402,060,211x = 870,883,105 × 870,883,105
  4. Step 4: Simplify right side
    402,060,211x = 758,437,382,574,441,088
  5. Step 5: Solve for x
    x = 758,437,382,574,441,088/402,060,211
  6. Step 6: Final answer
    x = 1,886,377,616.65

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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.