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Finding the Third Proportional to 408,045,993.75 and 885,370,298.25

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Solution

The third proportional to 408,045,993.75 and 885,370,298.25 is: 1,921,059,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,993.75 : 885,370,298.25 = 885,370,298.25 : x
  2. Step 2: Convert to fraction form
    408,045,993.75/885,370,298.25 = 885,370,298.25/x
  3. Step 3: Cross multiply
    408,045,993.75x = 885,370,298.25 × 885,370,298.25
  4. Step 4: Simplify right side
    408,045,993.75x = 783,880,565,023,293,952
  5. Step 5: Solve for x
    x = 783,880,565,023,293,952/408,045,993.75
  6. Step 6: Final answer
    x = 1,921,059,334.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.