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Finding the Third Proportional to 874,347,511.50 and 1,250,326,544.63

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Solution

The third proportional to 874,347,511.50 and 1,250,326,544.63 is: 1,787,980,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,347,511.50 : 1,250,326,544.63 = 1,250,326,544.63 : x
  2. Step 2: Convert to fraction form
    874,347,511.50/1,250,326,544.63 = 1,250,326,544.63/x
  3. Step 3: Cross multiply
    874,347,511.50x = 1,250,326,544.63 × 1,250,326,544.63
  4. Step 4: Simplify right side
    874,347,511.50x = 1,563,316,468,193,892,096
  5. Step 5: Solve for x
    x = 1,563,316,468,193,892,096/874,347,511.50
  6. Step 6: Final answer
    x = 1,787,980,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.