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Finding the Third Proportional to 6,471,376 and 14,080,928

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Solution

The third proportional to 6,471,376 and 14,080,928 is: 30,638,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,376 : 14,080,928 = 14,080,928 : x
  2. Step 2: Convert to fraction form
    6,471,376/14,080,928 = 14,080,928/x
  3. Step 3: Cross multiply
    6,471,376x = 14,080,928 × 14,080,928
  4. Step 4: Simplify right side
    6,471,376x = 198,272,533,341,184
  5. Step 5: Solve for x
    x = 198,272,533,341,184/6,471,376
  6. Step 6: Final answer
    x = 30,638,388.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.