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Finding the Third Proportional to 8,315,682,946 and 18,490,621,584

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Solution

The third proportional to 8,315,682,946 and 18,490,621,584 is: 41,115,454,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315,682,946 : 18,490,621,584 = 18,490,621,584 : x
  2. Step 2: Convert to fraction form
    8,315,682,946/18,490,621,584 = 18,490,621,584/x
  3. Step 3: Cross multiply
    8,315,682,946x = 18,490,621,584 × 18,490,621,584
  4. Step 4: Simplify right side
    8,315,682,946x = 341,903,086,562,686,664,704
  5. Step 5: Solve for x
    x = 341,903,086,562,686,664,704/8,315,682,946
  6. Step 6: Final answer
    x = 41,115,454,831.90

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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.