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Finding the Third Proportional to 463,014,576 and 993,167,973

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Solution

The third proportional to 463,014,576 and 993,167,973 is: 2,130,348,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,014,576 : 993,167,973 = 993,167,973 : x
  2. Step 2: Convert to fraction form
    463,014,576/993,167,973 = 993,167,973/x
  3. Step 3: Cross multiply
    463,014,576x = 993,167,973 × 993,167,973
  4. Step 4: Simplify right side
    463,014,576x = 986,382,622,592,928,768
  5. Step 5: Solve for x
    x = 986,382,622,592,928,768/463,014,576
  6. Step 6: Final answer
    x = 2,130,348,964.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.