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Finding the Third Proportional to 1,131,501,089 and 1,690,283,527

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Solution

The third proportional to 1,131,501,089 and 1,690,283,527 is: 2,525,016,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,501,089 : 1,690,283,527 = 1,690,283,527 : x
  2. Step 2: Convert to fraction form
    1,131,501,089/1,690,283,527 = 1,690,283,527/x
  3. Step 3: Cross multiply
    1,131,501,089x = 1,690,283,527 × 1,690,283,527
  4. Step 4: Simplify right side
    1,131,501,089x = 2,857,058,401,647,559,680
  5. Step 5: Solve for x
    x = 2,857,058,401,647,559,680/1,131,501,089
  6. Step 6: Final answer
    x = 2,525,016,042.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.