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Finding the Third Proportional to 1,771,101,123 and 4,100,207,789

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Solution

The third proportional to 1,771,101,123 and 4,100,207,789 is: 9,492,232,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,101,123 : 4,100,207,789 = 4,100,207,789 : x
  2. Step 2: Convert to fraction form
    1,771,101,123/4,100,207,789 = 4,100,207,789/x
  3. Step 3: Cross multiply
    1,771,101,123x = 4,100,207,789 × 4,100,207,789
  4. Step 4: Simplify right side
    1,771,101,123x = 16,811,703,912,976,269,312
  5. Step 5: Solve for x
    x = 16,811,703,912,976,269,312/1,771,101,123
  6. Step 6: Final answer
    x = 9,492,232,653.83

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.