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Finding the Third Proportional to 306,056,973 and 655,776,993

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Solution

The third proportional to 306,056,973 and 655,776,993 is: 1,405,109,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056,973 : 655,776,993 = 655,776,993 : x
  2. Step 2: Convert to fraction form
    306,056,973/655,776,993 = 655,776,993/x
  3. Step 3: Cross multiply
    306,056,973x = 655,776,993 × 655,776,993
  4. Step 4: Simplify right side
    306,056,973x = 430,043,464,548,122,048
  5. Step 5: Solve for x
    x = 430,043,464,548,122,048/306,056,973
  6. Step 6: Final answer
    x = 1,405,109,187.13

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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.