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Finding the Third Proportional to 1,644,199,590 and 2,375,584,461

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Solution

The third proportional to 1,644,199,590 and 2,375,584,461 is: 3,432,309,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,590 : 2,375,584,461 = 2,375,584,461 : x
  2. Step 2: Convert to fraction form
    1,644,199,590/2,375,584,461 = 2,375,584,461/x
  3. Step 3: Cross multiply
    1,644,199,590x = 2,375,584,461 × 2,375,584,461
  4. Step 4: Simplify right side
    1,644,199,590x = 5,643,401,531,344,660,480
  5. Step 5: Solve for x
    x = 5,643,401,531,344,660,480/1,644,199,590
  6. Step 6: Final answer
    x = 3,432,309,292.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.