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Finding the Third Proportional to 7,477,650 and 16,267,482

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Solution

The third proportional to 7,477,650 and 16,267,482 is: 35,389,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477,650 : 16,267,482 = 16,267,482 : x
  2. Step 2: Convert to fraction form
    7,477,650/16,267,482 = 16,267,482/x
  3. Step 3: Cross multiply
    7,477,650x = 16,267,482 × 16,267,482
  4. Step 4: Simplify right side
    7,477,650x = 264,630,970,620,324
  5. Step 5: Solve for x
    x = 264,630,970,620,324/7,477,650
  6. Step 6: Final answer
    x = 35,389,590.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.