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Finding the Third Proportional to 6,539,623 and 14,078,705

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Solution

The third proportional to 6,539,623 and 14,078,705 is: 30,309,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,623 : 14,078,705 = 14,078,705 : x
  2. Step 2: Convert to fraction form
    6,539,623/14,078,705 = 14,078,705/x
  3. Step 3: Cross multiply
    6,539,623x = 14,078,705 × 14,078,705
  4. Step 4: Simplify right side
    6,539,623x = 198,209,934,477,025
  5. Step 5: Solve for x
    x = 198,209,934,477,025/6,539,623
  6. Step 6: Final answer
    x = 30,309,076.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.