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Finding the Third Proportional to 1,674,061,728 and 2,756,517,738

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Solution

The third proportional to 1,674,061,728 and 2,756,517,738 is: 4,538,894,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,061,728 : 2,756,517,738 = 2,756,517,738 : x
  2. Step 2: Convert to fraction form
    1,674,061,728/2,756,517,738 = 2,756,517,738/x
  3. Step 3: Cross multiply
    1,674,061,728x = 2,756,517,738 × 2,756,517,738
  4. Step 4: Simplify right side
    1,674,061,728x = 7,598,390,039,908,636,672
  5. Step 5: Solve for x
    x = 7,598,390,039,908,636,672/1,674,061,728
  6. Step 6: Final answer
    x = 4,538,894,780.77

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.