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Finding the Third Proportional to 5,706,362.63 and 11,612,014.88

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Solution

The third proportional to 5,706,362.63 and 11,612,014.88 is: 23,629,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,362.63 : 11,612,014.88 = 11,612,014.88 : x
  2. Step 2: Convert to fraction form
    5,706,362.63/11,612,014.88 = 11,612,014.88/x
  3. Step 3: Cross multiply
    5,706,362.63x = 11,612,014.88 × 11,612,014.88
  4. Step 4: Simplify right side
    5,706,362.63x = 134,838,889,457,221.27
  5. Step 5: Solve for x
    x = 134,838,889,457,221.27/5,706,362.63
  6. Step 6: Final answer
    x = 23,629,569.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.