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Finding the Third Proportional to 2,048,830,292 and 4,408,403,530

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Solution

The third proportional to 2,048,830,292 and 4,408,403,530 is: 9,485,422,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,830,292 : 4,408,403,530 = 4,408,403,530 : x
  2. Step 2: Convert to fraction form
    2,048,830,292/4,408,403,530 = 4,408,403,530/x
  3. Step 3: Cross multiply
    2,048,830,292x = 4,408,403,530 × 4,408,403,530
  4. Step 4: Simplify right side
    2,048,830,292x = 19,434,021,683,316,461,568
  5. Step 5: Solve for x
    x = 19,434,021,683,316,461,568/2,048,830,292
  6. Step 6: Final answer
    x = 9,485,422,857.72

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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.