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Finding the Third Proportional to 5,477,829 and 8,548,361

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Solution

The third proportional to 5,477,829 and 8,548,361 is: 13,340,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,829 : 8,548,361 = 8,548,361 : x
  2. Step 2: Convert to fraction form
    5,477,829/8,548,361 = 8,548,361/x
  3. Step 3: Cross multiply
    5,477,829x = 8,548,361 × 8,548,361
  4. Step 4: Simplify right side
    5,477,829x = 73,074,475,786,321
  5. Step 5: Solve for x
    x = 73,074,475,786,321/5,477,829
  6. Step 6: Final answer
    x = 13,340,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.