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Finding the Third Proportional to 466,178,036.75 and 699,095,877.52

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Solution

The third proportional to 466,178,036.75 and 699,095,877.52 is: 1,048,387,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,178,036.75 : 699,095,877.52 = 699,095,877.52 : x
  2. Step 2: Convert to fraction form
    466,178,036.75/699,095,877.52 = 699,095,877.52/x
  3. Step 3: Cross multiply
    466,178,036.75x = 699,095,877.52 × 699,095,877.52
  4. Step 4: Simplify right side
    466,178,036.75x = 488,735,045,967,542,144
  5. Step 5: Solve for x
    x = 488,735,045,967,542,144/466,178,036.75
  6. Step 6: Final answer
    x = 1,048,387,112.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.