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Finding the Third Proportional to 6,471,690 and 14,072,952

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Solution

The third proportional to 6,471,690 and 14,072,952 is: 30,602,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,690 : 14,072,952 = 14,072,952 : x
  2. Step 2: Convert to fraction form
    6,471,690/14,072,952 = 14,072,952/x
  3. Step 3: Cross multiply
    6,471,690x = 14,072,952 × 14,072,952
  4. Step 4: Simplify right side
    6,471,690x = 198,047,977,994,304
  5. Step 5: Solve for x
    x = 198,047,977,994,304/6,471,690
  6. Step 6: Final answer
    x = 30,602,204.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.