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Finding the Third Proportional to 2,755,351,744 and 4,254,832,836

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Solution

The third proportional to 2,755,351,744 and 4,254,832,836 is: 6,570,341,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,351,744 : 4,254,832,836 = 4,254,832,836 : x
  2. Step 2: Convert to fraction form
    2,755,351,744/4,254,832,836 = 4,254,832,836/x
  3. Step 3: Cross multiply
    2,755,351,744x = 4,254,832,836 × 4,254,832,836
  4. Step 4: Simplify right side
    2,755,351,744x = 18,103,602,462,303,803,392
  5. Step 5: Solve for x
    x = 18,103,602,462,303,803,392/2,755,351,744
  6. Step 6: Final answer
    x = 6,570,341,700.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.