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Finding the Third Proportional to 384,155,808 and 826,575,912

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Solution

The third proportional to 384,155,808 and 826,575,912 is: 1,778,517,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,155,808 : 826,575,912 = 826,575,912 : x
  2. Step 2: Convert to fraction form
    384,155,808/826,575,912 = 826,575,912/x
  3. Step 3: Cross multiply
    384,155,808x = 826,575,912 × 826,575,912
  4. Step 4: Simplify right side
    384,155,808x = 683,227,738,298,631,680
  5. Step 5: Solve for x
    x = 683,227,738,298,631,680/384,155,808
  6. Step 6: Final answer
    x = 1,778,517,268.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.