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Finding the Third Proportional to 1,013,914,608 and 2,173,345,608

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Solution

The third proportional to 1,013,914,608 and 2,173,345,608 is: 4,658,608,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,914,608 : 2,173,345,608 = 2,173,345,608 : x
  2. Step 2: Convert to fraction form
    1,013,914,608/2,173,345,608 = 2,173,345,608/x
  3. Step 3: Cross multiply
    1,013,914,608x = 2,173,345,608 × 2,173,345,608
  4. Step 4: Simplify right side
    1,013,914,608x = 4,723,431,131,812,889,600
  5. Step 5: Solve for x
    x = 4,723,431,131,812,889,600/1,013,914,608
  6. Step 6: Final answer
    x = 4,658,608,421.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.