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Finding the Third Proportional to 690,004,648 and 1,496,430,600

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Solution

The third proportional to 690,004,648 and 1,496,430,600 is: 3,245,347,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,004,648 : 1,496,430,600 = 1,496,430,600 : x
  2. Step 2: Convert to fraction form
    690,004,648/1,496,430,600 = 1,496,430,600/x
  3. Step 3: Cross multiply
    690,004,648x = 1,496,430,600 × 1,496,430,600
  4. Step 4: Simplify right side
    690,004,648x = 2,239,304,540,616,359,936
  5. Step 5: Solve for x
    x = 2,239,304,540,616,359,936/690,004,648
  6. Step 6: Final answer
    x = 3,245,347,038.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.