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Finding the Third Proportional to 5,041,620 and 7,749,297

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Solution

The third proportional to 5,041,620 and 7,749,297 is: 11,911,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,620 : 7,749,297 = 7,749,297 : x
  2. Step 2: Convert to fraction form
    5,041,620/7,749,297 = 7,749,297/x
  3. Step 3: Cross multiply
    5,041,620x = 7,749,297 × 7,749,297
  4. Step 4: Simplify right side
    5,041,620x = 60,051,603,994,209
  5. Step 5: Solve for x
    x = 60,051,603,994,209/5,041,620
  6. Step 6: Final answer
    x = 11,911,172.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.