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Finding the Third Proportional to 121,956,202,944 and 264,173,053,824

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Solution

The third proportional to 121,956,202,944 and 264,173,053,824 is: 572,233,315,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,956,202,944 : 264,173,053,824 = 264,173,053,824 : x
  2. Step 2: Convert to fraction form
    121,956,202,944/264,173,053,824 = 264,173,053,824/x
  3. Step 3: Cross multiply
    121,956,202,944x = 264,173,053,824 × 264,173,053,824
  4. Step 4: Simplify right side
    121,956,202,944x = 69,787,402,366,698,003,628,032
  5. Step 5: Solve for x
    x = 69,787,402,366,698,003,628,032/121,956,202,944
  6. Step 6: Final answer
    x = 572,233,315,584.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.