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Finding the Third Proportional to 2,053,524,494 and 4,483,353,064

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Solution

The third proportional to 2,053,524,494 and 4,483,353,064 is: 9,788,271,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,524,494 : 4,483,353,064 = 4,483,353,064 : x
  2. Step 2: Convert to fraction form
    2,053,524,494/4,483,353,064 = 4,483,353,064/x
  3. Step 3: Cross multiply
    2,053,524,494x = 4,483,353,064 × 4,483,353,064
  4. Step 4: Simplify right side
    2,053,524,494x = 20,100,454,696,478,187,520
  5. Step 5: Solve for x
    x = 20,100,454,696,478,187,520/2,053,524,494
  6. Step 6: Final answer
    x = 9,788,271,216.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.