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Finding the Third Proportional to 6,473,547 and 14,166,189

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Solution

The third proportional to 6,473,547 and 14,166,189 is: 31,000,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,547 : 14,166,189 = 14,166,189 : x
  2. Step 2: Convert to fraction form
    6,473,547/14,166,189 = 14,166,189/x
  3. Step 3: Cross multiply
    6,473,547x = 14,166,189 × 14,166,189
  4. Step 4: Simplify right side
    6,473,547x = 200,680,910,783,721
  5. Step 5: Solve for x
    x = 200,680,910,783,721/6,473,547
  6. Step 6: Final answer
    x = 31,000,147.34

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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.