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Finding the Third Proportional to 359,558,431,398 and 782,413,646,951.25

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Solution

The third proportional to 359,558,431,398 and 782,413,646,951.25 is: 1,702,563,648,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558,431,398 : 782,413,646,951.25 = 782,413,646,951.25 : x
  2. Step 2: Convert to fraction form
    359,558,431,398/782,413,646,951.25 = 782,413,646,951.25/x
  3. Step 3: Cross multiply
    359,558,431,398x = 782,413,646,951.25 × 782,413,646,951.25
  4. Step 4: Simplify right side
    359,558,431,398x = 612,171,114,935,555,299,737,600
  5. Step 5: Solve for x
    x = 612,171,114,935,555,299,737,600/359,558,431,398
  6. Step 6: Final answer
    x = 1,702,563,648,849.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.