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Finding the Third Proportional to 408,494,123,672.62 and 893,939,585,900.62

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Solution

The third proportional to 408,494,123,672.62 and 893,939,585,900.62 is: 1,956,277,794,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,494,123,672.62 : 893,939,585,900.62 = 893,939,585,900.62 : x
  2. Step 2: Convert to fraction form
    408,494,123,672.62/893,939,585,900.62 = 893,939,585,900.62/x
  3. Step 3: Cross multiply
    408,494,123,672.62x = 893,939,585,900.62 × 893,939,585,900.62
  4. Step 4: Simplify right side
    408,494,123,672.62x = 799,127,983,240,171,917,148,160
  5. Step 5: Solve for x
    x = 799,127,983,240,171,917,148,160/408,494,123,672.62
  6. Step 6: Final answer
    x = 1,956,277,794,293.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.