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Finding the Third Proportional to 6,477,354 and 13,851,594

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Solution

The third proportional to 6,477,354 and 13,851,594 is: 29,621,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,354 : 13,851,594 = 13,851,594 : x
  2. Step 2: Convert to fraction form
    6,477,354/13,851,594 = 13,851,594/x
  3. Step 3: Cross multiply
    6,477,354x = 13,851,594 × 13,851,594
  4. Step 4: Simplify right side
    6,477,354x = 191,866,656,340,836
  5. Step 5: Solve for x
    x = 191,866,656,340,836/6,477,354
  6. Step 6: Final answer
    x = 29,621,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.