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Finding the Third Proportional to 379,409,403.75 and 846,057,326.25

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Solution

The third proportional to 379,409,403.75 and 846,057,326.25 is: 1,886,650,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,409,403.75 : 846,057,326.25 = 846,057,326.25 : x
  2. Step 2: Convert to fraction form
    379,409,403.75/846,057,326.25 = 846,057,326.25/x
  3. Step 3: Cross multiply
    379,409,403.75x = 846,057,326.25 × 846,057,326.25
  4. Step 4: Simplify right side
    379,409,403.75x = 715,812,999,301,298,944
  5. Step 5: Solve for x
    x = 715,812,999,301,298,944/379,409,403.75
  6. Step 6: Final answer
    x = 1,886,650,652.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.