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Finding the Third Proportional to 3,007,656.94 and 6,494,714.63

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Solution

The third proportional to 3,007,656.94 and 6,494,714.63 is: 14,024,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,656.94 : 6,494,714.63 = 6,494,714.63 : x
  2. Step 2: Convert to fraction form
    3,007,656.94/6,494,714.63 = 6,494,714.63/x
  3. Step 3: Cross multiply
    3,007,656.94x = 6,494,714.63 × 6,494,714.63
  4. Step 4: Simplify right side
    3,007,656.94x = 42,181,318,060,188.89
  5. Step 5: Solve for x
    x = 42,181,318,060,188.89/3,007,656.94
  6. Step 6: Final answer
    x = 14,024,644.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.