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Finding the Third Proportional to 7,827,804 and 11,023,254

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Solution

The third proportional to 7,827,804 and 11,023,254 is: 15,523,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,804 : 11,023,254 = 11,023,254 : x
  2. Step 2: Convert to fraction form
    7,827,804/11,023,254 = 11,023,254/x
  3. Step 3: Cross multiply
    7,827,804x = 11,023,254 × 11,023,254
  4. Step 4: Simplify right side
    7,827,804x = 121,512,128,748,516
  5. Step 5: Solve for x
    x = 121,512,128,748,516/7,827,804
  6. Step 6: Final answer
    x = 15,523,144.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.