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Finding the Third Proportional to 690,841,593 and 1,630,842,629

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Solution

The third proportional to 690,841,593 and 1,630,842,629 is: 3,849,866,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,841,593 : 1,630,842,629 = 1,630,842,629 : x
  2. Step 2: Convert to fraction form
    690,841,593/1,630,842,629 = 1,630,842,629/x
  3. Step 3: Cross multiply
    690,841,593x = 1,630,842,629 × 1,630,842,629
  4. Step 4: Simplify right side
    690,841,593x = 2,659,647,680,563,631,616
  5. Step 5: Solve for x
    x = 2,659,647,680,563,631,616/690,841,593
  6. Step 6: Final answer
    x = 3,849,866,174.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.