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Finding the Third Proportional to 1,362,918,431 and 2,964,632,938

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Solution

The third proportional to 1,362,918,431 and 2,964,632,938 is: 6,448,697,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,918,431 : 2,964,632,938 = 2,964,632,938 : x
  2. Step 2: Convert to fraction form
    1,362,918,431/2,964,632,938 = 2,964,632,938/x
  3. Step 3: Cross multiply
    1,362,918,431x = 2,964,632,938 × 2,964,632,938
  4. Step 4: Simplify right side
    1,362,918,431x = 8,789,048,457,074,511,872
  5. Step 5: Solve for x
    x = 8,789,048,457,074,511,872/1,362,918,431
  6. Step 6: Final answer
    x = 6,448,697,337.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.