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Finding the Third Proportional to 7,061,911 and 14,971,391

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Solution

The third proportional to 7,061,911 and 14,971,391 is: 31,739,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061,911 : 14,971,391 = 14,971,391 : x
  2. Step 2: Convert to fraction form
    7,061,911/14,971,391 = 14,971,391/x
  3. Step 3: Cross multiply
    7,061,911x = 14,971,391 × 14,971,391
  4. Step 4: Simplify right side
    7,061,911x = 224,142,548,474,881
  5. Step 5: Solve for x
    x = 224,142,548,474,881/7,061,911
  6. Step 6: Final answer
    x = 31,739,645.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.