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Finding the Third Proportional to 2,079,523,743 and 4,623,999,311

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Solution

The third proportional to 2,079,523,743 and 4,623,999,311 is: 10,281,858,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079,523,743 : 4,623,999,311 = 4,623,999,311 : x
  2. Step 2: Convert to fraction form
    2,079,523,743/4,623,999,311 = 4,623,999,311/x
  3. Step 3: Cross multiply
    2,079,523,743x = 4,623,999,311 × 4,623,999,311
  4. Step 4: Simplify right side
    2,079,523,743x = 21,381,369,628,128,473,088
  5. Step 5: Solve for x
    x = 21,381,369,628,128,473,088/2,079,523,743
  6. Step 6: Final answer
    x = 10,281,858,863.17

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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.