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Finding the Third Proportional to 2,079,523,745 and 4,623,999,315

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Solution

The third proportional to 2,079,523,745 and 4,623,999,315 is: 10,281,858,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079,523,745 : 4,623,999,315 = 4,623,999,315 : x
  2. Step 2: Convert to fraction form
    2,079,523,745/4,623,999,315 = 4,623,999,315/x
  3. Step 3: Cross multiply
    2,079,523,745x = 4,623,999,315 × 4,623,999,315
  4. Step 4: Simplify right side
    2,079,523,745x = 21,381,369,665,120,468,992
  5. Step 5: Solve for x
    x = 21,381,369,665,120,468,992/2,079,523,745
  6. Step 6: Final answer
    x = 10,281,858,871.07

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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.