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Finding the Third Proportional to 1,405,263,494 and 3,124,723,848

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Solution

The third proportional to 1,405,263,494 and 3,124,723,848 is: 6,948,091,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,263,494 : 3,124,723,848 = 3,124,723,848 : x
  2. Step 2: Convert to fraction form
    1,405,263,494/3,124,723,848 = 3,124,723,848/x
  3. Step 3: Cross multiply
    1,405,263,494x = 3,124,723,848 × 3,124,723,848
  4. Step 4: Simplify right side
    1,405,263,494x = 9,763,899,126,259,927,040
  5. Step 5: Solve for x
    x = 9,763,899,126,259,927,040/1,405,263,494
  6. Step 6: Final answer
    x = 6,948,091,349.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.