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Finding the Third Proportional to 5,829,148 and 8,151,392

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Solution

The third proportional to 5,829,148 and 8,151,392 is: 11,398,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,148 : 8,151,392 = 8,151,392 : x
  2. Step 2: Convert to fraction form
    5,829,148/8,151,392 = 8,151,392/x
  3. Step 3: Cross multiply
    5,829,148x = 8,151,392 × 8,151,392
  4. Step 4: Simplify right side
    5,829,148x = 66,445,191,537,664
  5. Step 5: Solve for x
    x = 66,445,191,537,664/5,829,148
  6. Step 6: Final answer
    x = 11,398,782.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.