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Finding the Third Proportional to 1,747,876,241 and 3,745,064,740

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Solution

The third proportional to 1,747,876,241 and 3,745,064,740 is: 8,024,315,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,876,241 : 3,745,064,740 = 3,745,064,740 : x
  2. Step 2: Convert to fraction form
    1,747,876,241/3,745,064,740 = 3,745,064,740/x
  3. Step 3: Cross multiply
    1,747,876,241x = 3,745,064,740 × 3,745,064,740
  4. Step 4: Simplify right side
    1,747,876,241x = 14,025,509,906,791,268,352
  5. Step 5: Solve for x
    x = 14,025,509,906,791,268,352/1,747,876,241
  6. Step 6: Final answer
    x = 8,024,315,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.