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Finding the Third Proportional to 73,047,862 and 160,705,121

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Solution

The third proportional to 73,047,862 and 160,705,121 is: 353,550,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,047,862 : 160,705,121 = 160,705,121 : x
  2. Step 2: Convert to fraction form
    73,047,862/160,705,121 = 160,705,121/x
  3. Step 3: Cross multiply
    73,047,862x = 160,705,121 × 160,705,121
  4. Step 4: Simplify right side
    73,047,862x = 25,826,135,915,624,640
  5. Step 5: Solve for x
    x = 25,826,135,915,624,640/73,047,862
  6. Step 6: Final answer
    x = 353,550,880.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.