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Finding the Third Proportional to 968,694,621,466 and 2,075,560,302,527

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Solution

The third proportional to 968,694,621,466 and 2,075,560,302,527 is: 4,447,170,939,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,694,621,466 : 2,075,560,302,527 = 2,075,560,302,527 : x
  2. Step 2: Convert to fraction form
    968,694,621,466/2,075,560,302,527 = 2,075,560,302,527/x
  3. Step 3: Cross multiply
    968,694,621,466x = 2,075,560,302,527 × 2,075,560,302,527
  4. Step 4: Simplify right side
    968,694,621,466x = 4,307,950,569,425,971,498,188,800
  5. Step 5: Solve for x
    x = 4,307,950,569,425,971,498,188,800/968,694,621,466
  6. Step 6: Final answer
    x = 4,447,170,939,079.25

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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.