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Finding the Third Proportional to 6,485,984 and 15,013,280

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Solution

The third proportional to 6,485,984 and 15,013,280 is: 34,751,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,984 : 15,013,280 = 15,013,280 : x
  2. Step 2: Convert to fraction form
    6,485,984/15,013,280 = 15,013,280/x
  3. Step 3: Cross multiply
    6,485,984x = 15,013,280 × 15,013,280
  4. Step 4: Simplify right side
    6,485,984x = 225,398,576,358,400
  5. Step 5: Solve for x
    x = 225,398,576,358,400/6,485,984
  6. Step 6: Final answer
    x = 34,751,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.