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Finding the Third Proportional to 1,354,990,973 and 2,071,431,530

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Solution

The third proportional to 1,354,990,973 and 2,071,431,530 is: 3,166,684,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,990,973 : 2,071,431,530 = 2,071,431,530 : x
  2. Step 2: Convert to fraction form
    1,354,990,973/2,071,431,530 = 2,071,431,530/x
  3. Step 3: Cross multiply
    1,354,990,973x = 2,071,431,530 × 2,071,431,530
  4. Step 4: Simplify right side
    1,354,990,973x = 4,290,828,583,478,140,928
  5. Step 5: Solve for x
    x = 4,290,828,583,478,140,928/1,354,990,973
  6. Step 6: Final answer
    x = 3,166,684,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.