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Finding the Third Proportional to 383,676,930 and 832,475,916

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Solution

The third proportional to 383,676,930 and 832,475,916 is: 1,806,249,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,676,930 : 832,475,916 = 832,475,916 : x
  2. Step 2: Convert to fraction form
    383,676,930/832,475,916 = 832,475,916/x
  3. Step 3: Cross multiply
    383,676,930x = 832,475,916 × 832,475,916
  4. Step 4: Simplify right side
    383,676,930x = 693,016,150,720,039,040
  5. Step 5: Solve for x
    x = 693,016,150,720,039,040/383,676,930
  6. Step 6: Final answer
    x = 1,806,249,207.43

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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.