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Finding the Third Proportional to 2,777,583,720 and 4,231,492,820

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Solution

The third proportional to 2,777,583,720 and 4,231,492,820 is: 6,446,441,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777,583,720 : 4,231,492,820 = 4,231,492,820 : x
  2. Step 2: Convert to fraction form
    2,777,583,720/4,231,492,820 = 4,231,492,820/x
  3. Step 3: Cross multiply
    2,777,583,720x = 4,231,492,820 × 4,231,492,820
  4. Step 4: Simplify right side
    2,777,583,720x = 17,905,531,485,711,552,512
  5. Step 5: Solve for x
    x = 17,905,531,485,711,552,512/2,777,583,720
  6. Step 6: Final answer
    x = 6,446,441,688.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.