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Finding the Third Proportional to 290,151,144 and 637,303,024

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Solution

The third proportional to 290,151,144 and 637,303,024 is: 1,399,805,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,151,144 : 637,303,024 = 637,303,024 : x
  2. Step 2: Convert to fraction form
    290,151,144/637,303,024 = 637,303,024/x
  3. Step 3: Cross multiply
    290,151,144x = 637,303,024 × 637,303,024
  4. Step 4: Simplify right side
    290,151,144x = 406,155,144,399,544,576
  5. Step 5: Solve for x
    x = 406,155,144,399,544,576/290,151,144
  6. Step 6: Final answer
    x = 1,399,805,421.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.