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Finding the Third Proportional to 328,935,746,052 and 443,811,555,702

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Solution

The third proportional to 328,935,746,052 and 443,811,555,702 is: 598,805,995,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,935,746,052 : 443,811,555,702 = 443,811,555,702 : x
  2. Step 2: Convert to fraction form
    328,935,746,052/443,811,555,702 = 443,811,555,702/x
  3. Step 3: Cross multiply
    328,935,746,052x = 443,811,555,702 × 443,811,555,702
  4. Step 4: Simplify right side
    328,935,746,052x = 196,968,696,974,629,442,420,736
  5. Step 5: Solve for x
    x = 196,968,696,974,629,442,420,736/328,935,746,052
  6. Step 6: Final answer
    x = 598,805,995,817.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.