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Finding the Third Proportional to 2,044,390,359 and 4,446,976,974

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Solution

The third proportional to 2,044,390,359 and 4,446,976,974 is: 9,673,105,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,390,359 : 4,446,976,974 = 4,446,976,974 : x
  2. Step 2: Convert to fraction form
    2,044,390,359/4,446,976,974 = 4,446,976,974/x
  3. Step 3: Cross multiply
    2,044,390,359x = 4,446,976,974 × 4,446,976,974
  4. Step 4: Simplify right side
    2,044,390,359x = 19,775,604,207,286,198,272
  5. Step 5: Solve for x
    x = 19,775,604,207,286,198,272/2,044,390,359
  6. Step 6: Final answer
    x = 9,673,105,784.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.