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Finding the Third Proportional to 50,395,941,859 and 107,980,176,280

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Solution

The third proportional to 50,395,941,859 and 107,980,176,280 is: 231,362,249,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,395,941,859 : 107,980,176,280 = 107,980,176,280 : x
  2. Step 2: Convert to fraction form
    50,395,941,859/107,980,176,280 = 107,980,176,280/x
  3. Step 3: Cross multiply
    50,395,941,859x = 107,980,176,280 × 107,980,176,280
  4. Step 4: Simplify right side
    50,395,941,859x = 11,659,718,469,459,875,201,024
  5. Step 5: Solve for x
    x = 11,659,718,469,459,875,201,024/50,395,941,859
  6. Step 6: Final answer
    x = 231,362,249,406.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.