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Finding the Third Proportional to 453,145,506.75 and 699,735,921.75

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Solution

The third proportional to 453,145,506.75 and 699,735,921.75 is: 1,080,514,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,145,506.75 : 699,735,921.75 = 699,735,921.75 : x
  2. Step 2: Convert to fraction form
    453,145,506.75/699,735,921.75 = 699,735,921.75/x
  3. Step 3: Cross multiply
    453,145,506.75x = 699,735,921.75 × 699,735,921.75
  4. Step 4: Simplify right side
    453,145,506.75x = 489,630,360,187,322,112
  5. Step 5: Solve for x
    x = 489,630,360,187,322,112/453,145,506.75
  6. Step 6: Final answer
    x = 1,080,514,653.45

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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.