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Finding the Third Proportional to 433,053,568.50 and 1,010,493,228.75

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Solution

The third proportional to 433,053,568.50 and 1,010,493,228.75 is: 2,357,898,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,053,568.50 : 1,010,493,228.75 = 1,010,493,228.75 : x
  2. Step 2: Convert to fraction form
    433,053,568.50/1,010,493,228.75 = 1,010,493,228.75/x
  3. Step 3: Cross multiply
    433,053,568.50x = 1,010,493,228.75 × 1,010,493,228.75
  4. Step 4: Simplify right side
    433,053,568.50x = 1,021,096,565,349,599,872
  5. Step 5: Solve for x
    x = 1,021,096,565,349,599,872/433,053,568.50
  6. Step 6: Final answer
    x = 2,357,898,975.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.