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Finding the Third Proportional to 6,757,971 and 14,705,718

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Solution

The third proportional to 6,757,971 and 14,705,718 is: 32,000,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,971 : 14,705,718 = 14,705,718 : x
  2. Step 2: Convert to fraction form
    6,757,971/14,705,718 = 14,705,718/x
  3. Step 3: Cross multiply
    6,757,971x = 14,705,718 × 14,705,718
  4. Step 4: Simplify right side
    6,757,971x = 216,258,141,895,524
  5. Step 5: Solve for x
    x = 216,258,141,895,524/6,757,971
  6. Step 6: Final answer
    x = 32,000,454.26

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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.