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Finding the Third Proportional to 2,590,604,075 and 3,788,751,817

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Solution

The third proportional to 2,590,604,075 and 3,788,751,817 is: 5,541,039,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590,604,075 : 3,788,751,817 = 3,788,751,817 : x
  2. Step 2: Convert to fraction form
    2,590,604,075/3,788,751,817 = 3,788,751,817/x
  3. Step 3: Cross multiply
    2,590,604,075x = 3,788,751,817 × 3,788,751,817
  4. Step 4: Simplify right side
    2,590,604,075x = 14,354,640,330,820,800,512
  5. Step 5: Solve for x
    x = 14,354,640,330,820,800,512/2,590,604,075
  6. Step 6: Final answer
    x = 5,541,039,817.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.