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Finding the Third Proportional to 2,105,362,470 and 4,562,184,588

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Solution

The third proportional to 2,105,362,470 and 4,562,184,588 is: 9,885,959,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,362,470 : 4,562,184,588 = 4,562,184,588 : x
  2. Step 2: Convert to fraction form
    2,105,362,470/4,562,184,588 = 4,562,184,588/x
  3. Step 3: Cross multiply
    2,105,362,470x = 4,562,184,588 × 4,562,184,588
  4. Step 4: Simplify right side
    2,105,362,470x = 20,813,528,214,984,728,576
  5. Step 5: Solve for x
    x = 20,813,528,214,984,728,576/2,105,362,470
  6. Step 6: Final answer
    x = 9,885,959,549.28

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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.