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Finding the Third Proportional to 436,971,348 and 936,270,692.44

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Solution

The third proportional to 436,971,348 and 936,270,692.44 is: 2,006,087,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971,348 : 936,270,692.44 = 936,270,692.44 : x
  2. Step 2: Convert to fraction form
    436,971,348/936,270,692.44 = 936,270,692.44/x
  3. Step 3: Cross multiply
    436,971,348x = 936,270,692.44 × 936,270,692.44
  4. Step 4: Simplify right side
    436,971,348x = 876,602,809,517,395,712
  5. Step 5: Solve for x
    x = 876,602,809,517,395,712/436,971,348
  6. Step 6: Final answer
    x = 2,006,087,615.42

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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.