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Finding the Third Proportional to 860,477,059 and 1,901,828,765

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Solution

The third proportional to 860,477,059 and 1,901,828,765 is: 4,203,427,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,477,059 : 1,901,828,765 = 1,901,828,765 : x
  2. Step 2: Convert to fraction form
    860,477,059/1,901,828,765 = 1,901,828,765/x
  3. Step 3: Cross multiply
    860,477,059x = 1,901,828,765 × 1,901,828,765
  4. Step 4: Simplify right side
    860,477,059x = 3,616,952,651,381,425,152
  5. Step 5: Solve for x
    x = 3,616,952,651,381,425,152/860,477,059
  6. Step 6: Final answer
    x = 4,203,427,172.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.