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Finding the Third Proportional to 1,839,609,946 and 2,758,739,271

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Solution

The third proportional to 1,839,609,946 and 2,758,739,271 is: 4,137,095,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,609,946 : 2,758,739,271 = 2,758,739,271 : x
  2. Step 2: Convert to fraction form
    1,839,609,946/2,758,739,271 = 2,758,739,271/x
  3. Step 3: Cross multiply
    1,839,609,946x = 2,758,739,271 × 2,758,739,271
  4. Step 4: Simplify right side
    1,839,609,946x = 7,610,642,365,357,611,008
  5. Step 5: Solve for x
    x = 7,610,642,365,357,611,008/1,839,609,946
  6. Step 6: Final answer
    x = 4,137,095,682.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.