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Finding the Third Proportional to 6,380,090 and 14,000,209

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Solution

The third proportional to 6,380,090 and 14,000,209 is: 30,721,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,090 : 14,000,209 = 14,000,209 : x
  2. Step 2: Convert to fraction form
    6,380,090/14,000,209 = 14,000,209/x
  3. Step 3: Cross multiply
    6,380,090x = 14,000,209 × 14,000,209
  4. Step 4: Simplify right side
    6,380,090x = 196,005,852,043,681
  5. Step 5: Solve for x
    x = 196,005,852,043,681/6,380,090
  6. Step 6: Final answer
    x = 30,721,487.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.