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Finding the Third Proportional to 2,105,362,472 and 4,562,184,592

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Solution

The third proportional to 2,105,362,472 and 4,562,184,592 is: 9,885,959,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,362,472 : 4,562,184,592 = 4,562,184,592 : x
  2. Step 2: Convert to fraction form
    2,105,362,472/4,562,184,592 = 4,562,184,592/x
  3. Step 3: Cross multiply
    2,105,362,472x = 4,562,184,592 × 4,562,184,592
  4. Step 4: Simplify right side
    2,105,362,472x = 20,813,528,251,482,206,208
  5. Step 5: Solve for x
    x = 20,813,528,251,482,206,208/2,105,362,472
  6. Step 6: Final answer
    x = 9,885,959,557.22

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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.