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Finding the Third Proportional to 1,391,128,532 and 3,000,174,914

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Solution

The third proportional to 1,391,128,532 and 3,000,174,914 is: 6,470,321,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,128,532 : 3,000,174,914 = 3,000,174,914 : x
  2. Step 2: Convert to fraction form
    1,391,128,532/3,000,174,914 = 3,000,174,914/x
  3. Step 3: Cross multiply
    1,391,128,532x = 3,000,174,914 × 3,000,174,914
  4. Step 4: Simplify right side
    1,391,128,532x = 9,001,049,514,594,907,136
  5. Step 5: Solve for x
    x = 9,001,049,514,594,907,136/1,391,128,532
  6. Step 6: Final answer
    x = 6,470,321,977.84

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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.