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Finding the Third Proportional to 2,048,830,645 and 4,408,404,181

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Solution

The third proportional to 2,048,830,645 and 4,408,404,181 is: 9,485,424,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,830,645 : 4,408,404,181 = 4,408,404,181 : x
  2. Step 2: Convert to fraction form
    2,048,830,645/4,408,404,181 = 4,408,404,181/x
  3. Step 3: Cross multiply
    2,048,830,645x = 4,408,404,181 × 4,408,404,181
  4. Step 4: Simplify right side
    2,048,830,645x = 19,434,027,423,058,280,448
  5. Step 5: Solve for x
    x = 19,434,027,423,058,280,448/2,048,830,645
  6. Step 6: Final answer
    x = 9,485,424,024.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.