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Finding the Third Proportional to 3,011,080 and 6,494,984

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Solution

The third proportional to 3,011,080 and 6,494,984 is: 14,009,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,080 : 6,494,984 = 6,494,984 : x
  2. Step 2: Convert to fraction form
    3,011,080/6,494,984 = 6,494,984/x
  3. Step 3: Cross multiply
    3,011,080x = 6,494,984 × 6,494,984
  4. Step 4: Simplify right side
    3,011,080x = 42,184,817,160,256
  5. Step 5: Solve for x
    x = 42,184,817,160,256/3,011,080
  6. Step 6: Final answer
    x = 14,009,862.63

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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.