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Finding the Third Proportional to 1,709,558,598 and 2,554,274,313

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Solution

The third proportional to 1,709,558,598 and 2,554,274,313 is: 3,816,375,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,558,598 : 2,554,274,313 = 2,554,274,313 : x
  2. Step 2: Convert to fraction form
    1,709,558,598/2,554,274,313 = 2,554,274,313/x
  3. Step 3: Cross multiply
    1,709,558,598x = 2,554,274,313 × 2,554,274,313
  4. Step 4: Simplify right side
    1,709,558,598x = 6,524,317,266,051,621,888
  5. Step 5: Solve for x
    x = 6,524,317,266,051,621,888/1,709,558,598
  6. Step 6: Final answer
    x = 3,816,375,334.36

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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.