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Finding the Third Proportional to 359,558,431,401 and 782,413,646,958

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Solution

The third proportional to 359,558,431,401 and 782,413,646,958 is: 1,702,563,648,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558,431,401 : 782,413,646,958 = 782,413,646,958 : x
  2. Step 2: Convert to fraction form
    359,558,431,401/782,413,646,958 = 782,413,646,958/x
  3. Step 3: Cross multiply
    359,558,431,401x = 782,413,646,958 × 782,413,646,958
  4. Step 4: Simplify right side
    359,558,431,401x = 612,171,114,946,117,832,278,016
  5. Step 5: Solve for x
    x = 612,171,114,946,117,832,278,016/359,558,431,401
  6. Step 6: Final answer
    x = 1,702,563,648,864.60

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