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Finding the Third Proportional to 2,140,345,215 and 4,701,591,702

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Solution

The third proportional to 2,140,345,215 and 4,701,591,702 is: 10,327,756,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,345,215 : 4,701,591,702 = 4,701,591,702 : x
  2. Step 2: Convert to fraction form
    2,140,345,215/4,701,591,702 = 4,701,591,702/x
  3. Step 3: Cross multiply
    2,140,345,215x = 4,701,591,702 × 4,701,591,702
  4. Step 4: Simplify right side
    2,140,345,215x = 22,104,964,532,315,254,784
  5. Step 5: Solve for x
    x = 22,104,964,532,315,254,784/2,140,345,215
  6. Step 6: Final answer
    x = 10,327,756,652.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.