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Finding the Third Proportional to 5,477,654 and 8,013,657

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Solution

The third proportional to 5,477,654 and 8,013,657 is: 11,723,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,654 : 8,013,657 = 8,013,657 : x
  2. Step 2: Convert to fraction form
    5,477,654/8,013,657 = 8,013,657/x
  3. Step 3: Cross multiply
    5,477,654x = 8,013,657 × 8,013,657
  4. Step 4: Simplify right side
    5,477,654x = 64,218,698,513,649
  5. Step 5: Solve for x
    x = 64,218,698,513,649/5,477,654
  6. Step 6: Final answer
    x = 11,723,759.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.