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Finding the Third Proportional to 4,256,549,610 and 9,945,220,980

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Solution

The third proportional to 4,256,549,610 and 9,945,220,980 is: 23,236,524,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,549,610 : 9,945,220,980 = 9,945,220,980 : x
  2. Step 2: Convert to fraction form
    4,256,549,610/9,945,220,980 = 9,945,220,980/x
  3. Step 3: Cross multiply
    4,256,549,610x = 9,945,220,980 × 9,945,220,980
  4. Step 4: Simplify right side
    4,256,549,610x = 98,907,420,341,032,157,184
  5. Step 5: Solve for x
    x = 98,907,420,341,032,157,184/4,256,549,610
  6. Step 6: Final answer
    x = 23,236,524,744.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.