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Finding the Third Proportional to 2,044,381,570 and 4,446,959,888

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Solution

The third proportional to 2,044,381,570 and 4,446,959,888 is: 9,673,073,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,381,570 : 4,446,959,888 = 4,446,959,888 : x
  2. Step 2: Convert to fraction form
    2,044,381,570/4,446,959,888 = 4,446,959,888/x
  3. Step 3: Cross multiply
    2,044,381,570x = 4,446,959,888 × 4,446,959,888
  4. Step 4: Simplify right side
    2,044,381,570x = 19,775,452,245,480,972,288
  5. Step 5: Solve for x
    x = 19,775,452,245,480,972,288/2,044,381,570
  6. Step 6: Final answer
    x = 9,673,073,038.65

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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.