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Finding the Third Proportional to 54,837,283,185 and 119,409,800,237

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Solution

The third proportional to 54,837,283,185 and 119,409,800,237 is: 260,018,359,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837,283,185 : 119,409,800,237 = 119,409,800,237 : x
  2. Step 2: Convert to fraction form
    54,837,283,185/119,409,800,237 = 119,409,800,237/x
  3. Step 3: Cross multiply
    54,837,283,185x = 119,409,800,237 × 119,409,800,237
  4. Step 4: Simplify right side
    54,837,283,185x = 14,258,700,392,640,244,875,264
  5. Step 5: Solve for x
    x = 14,258,700,392,640,244,875,264/54,837,283,185
  6. Step 6: Final answer
    x = 260,018,359,125.07

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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.