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Finding the Third Proportional to 54,508,766.63 and 83,783,733.75

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Solution

The third proportional to 54,508,766.63 and 83,783,733.75 is: 128,781,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,766.63 : 83,783,733.75 = 83,783,733.75 : x
  2. Step 2: Convert to fraction form
    54,508,766.63/83,783,733.75 = 83,783,733.75/x
  3. Step 3: Cross multiply
    54,508,766.63x = 83,783,733.75 × 83,783,733.75
  4. Step 4: Simplify right side
    54,508,766.63x = 7,019,714,041,090,889
  5. Step 5: Solve for x
    x = 7,019,714,041,090,889/54,508,766.63
  6. Step 6: Final answer
    x = 128,781,377.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.