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Finding the Third Proportional to 2,321,261.30 and 5,461,830.32

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Solution

The third proportional to 2,321,261.30 and 5,461,830.32 is: 12,851,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,261.30 : 5,461,830.32 = 5,461,830.32 : x
  2. Step 2: Convert to fraction form
    2,321,261.30/5,461,830.32 = 5,461,830.32/x
  3. Step 3: Cross multiply
    2,321,261.30x = 5,461,830.32 × 5,461,830.32
  4. Step 4: Simplify right side
    2,321,261.30x = 29,831,590,405,213.85
  5. Step 5: Solve for x
    x = 29,831,590,405,213.85/2,321,261.30
  6. Step 6: Final answer
    x = 12,851,457.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.