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Finding the Third Proportional to 2,105,362,476 and 4,562,184,600

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Solution

The third proportional to 2,105,362,476 and 4,562,184,600 is: 9,885,959,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,362,476 : 4,562,184,600 = 4,562,184,600 : x
  2. Step 2: Convert to fraction form
    2,105,362,476/4,562,184,600 = 4,562,184,600/x
  3. Step 3: Cross multiply
    2,105,362,476x = 4,562,184,600 × 4,562,184,600
  4. Step 4: Simplify right side
    2,105,362,476x = 20,813,528,324,477,161,472
  5. Step 5: Solve for x
    x = 20,813,528,324,477,161,472/2,105,362,476
  6. Step 6: Final answer
    x = 9,885,959,573.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.