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Finding the Third Proportional to 2,071,440,398 and 4,436,708,620

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Solution

The third proportional to 2,071,440,398 and 4,436,708,620 is: 9,502,751,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,440,398 : 4,436,708,620 = 4,436,708,620 : x
  2. Step 2: Convert to fraction form
    2,071,440,398/4,436,708,620 = 4,436,708,620/x
  3. Step 3: Cross multiply
    2,071,440,398x = 4,436,708,620 × 4,436,708,620
  4. Step 4: Simplify right side
    2,071,440,398x = 19,684,383,378,782,306,304
  5. Step 5: Solve for x
    x = 19,684,383,378,782,306,304/2,071,440,398
  6. Step 6: Final answer
    x = 9,502,751,514.25

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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.