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Finding the Third Proportional to 4,584,137,144 and 9,821,827,640

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Solution

The third proportional to 4,584,137,144 and 9,821,827,640 is: 21,043,938,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584,137,144 : 9,821,827,640 = 9,821,827,640 : x
  2. Step 2: Convert to fraction form
    4,584,137,144/9,821,827,640 = 9,821,827,640/x
  3. Step 3: Cross multiply
    4,584,137,144x = 9,821,827,640 × 9,821,827,640
  4. Step 4: Simplify right side
    4,584,137,144x = 96,468,298,189,867,974,656
  5. Step 5: Solve for x
    x = 96,468,298,189,867,974,656/4,584,137,144
  6. Step 6: Final answer
    x = 21,043,938,075.92

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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.