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Finding the Third Proportional to 426,367,347,024.26 and 948,064,348,106.02

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Solution

The third proportional to 426,367,347,024.26 and 948,064,348,106.02 is: 2,108,102,354,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,367,347,024.26 : 948,064,348,106.02 = 948,064,348,106.02 : x
  2. Step 2: Convert to fraction form
    426,367,347,024.26/948,064,348,106.02 = 948,064,348,106.02/x
  3. Step 3: Cross multiply
    426,367,347,024.26x = 948,064,348,106.02 × 948,064,348,106.02
  4. Step 4: Simplify right side
    426,367,347,024.26x = 898,826,008,149,692,694,659,072
  5. Step 5: Solve for x
    x = 898,826,008,149,692,694,659,072/426,367,347,024.26
  6. Step 6: Final answer
    x = 2,108,102,354,513.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.