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Finding the Third Proportional to 54,837,283,183 and 119,409,800,233

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Solution

The third proportional to 54,837,283,183 and 119,409,800,233 is: 260,018,359,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837,283,183 : 119,409,800,233 = 119,409,800,233 : x
  2. Step 2: Convert to fraction form
    54,837,283,183/119,409,800,233 = 119,409,800,233/x
  3. Step 3: Cross multiply
    54,837,283,183x = 119,409,800,233 × 119,409,800,233
  4. Step 4: Simplify right side
    54,837,283,183x = 14,258,700,391,684,966,973,440
  5. Step 5: Solve for x
    x = 14,258,700,391,684,966,973,440/54,837,283,183
  6. Step 6: Final answer
    x = 260,018,359,117.13

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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.