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Finding the Third Proportional to 301,886,986 and 646,827,236

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Solution

The third proportional to 301,886,986 and 646,827,236 is: 1,385,900,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886,986 : 646,827,236 = 646,827,236 : x
  2. Step 2: Convert to fraction form
    301,886,986/646,827,236 = 646,827,236/x
  3. Step 3: Cross multiply
    301,886,986x = 646,827,236 × 646,827,236
  4. Step 4: Simplify right side
    301,886,986x = 418,385,473,231,399,680
  5. Step 5: Solve for x
    x = 418,385,473,231,399,680/301,886,986
  6. Step 6: Final answer
    x = 1,385,900,991.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.