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Finding the Third Proportional to 1,429,960,075 and 3,079,039,770

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Solution

The third proportional to 1,429,960,075 and 3,079,039,770 is: 6,629,895,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,960,075 : 3,079,039,770 = 3,079,039,770 : x
  2. Step 2: Convert to fraction form
    1,429,960,075/3,079,039,770 = 3,079,039,770/x
  3. Step 3: Cross multiply
    1,429,960,075x = 3,079,039,770 × 3,079,039,770
  4. Step 4: Simplify right side
    1,429,960,075x = 9,480,485,905,241,653,248
  5. Step 5: Solve for x
    x = 9,480,485,905,241,653,248/1,429,960,075
  6. Step 6: Final answer
    x = 6,629,895,527.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.