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Finding the Third Proportional to 431,311,847.63 and 944,725,042.13

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Solution

The third proportional to 431,311,847.63 and 944,725,042.13 is: 2,069,280,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,311,847.63 : 944,725,042.13 = 944,725,042.13 : x
  2. Step 2: Convert to fraction form
    431,311,847.63/944,725,042.13 = 944,725,042.13/x
  3. Step 3: Cross multiply
    431,311,847.63x = 944,725,042.13 × 944,725,042.13
  4. Step 4: Simplify right side
    431,311,847.63x = 892,505,405,218,083,072
  5. Step 5: Solve for x
    x = 892,505,405,218,083,072/431,311,847.63
  6. Step 6: Final answer
    x = 2,069,280,985.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.