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Finding the Third Proportional to 3,007,652.06 and 6,494,704.13

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Solution

The third proportional to 3,007,652.06 and 6,494,704.13 is: 14,024,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,652.06 : 6,494,704.13 = 6,494,704.13 : x
  2. Step 2: Convert to fraction form
    3,007,652.06/6,494,704.13 = 6,494,704.13/x
  3. Step 3: Cross multiply
    3,007,652.06x = 6,494,704.13 × 6,494,704.13
  4. Step 4: Simplify right side
    3,007,652.06x = 42,181,181,671,292.02
  5. Step 5: Solve for x
    x = 42,181,181,671,292.02/3,007,652.06
  6. Step 6: Final answer
    x = 14,024,621.46

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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.