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Finding the Third Proportional to 49,123,551,322 and 75,459,784,553

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Solution

The third proportional to 49,123,551,322 and 75,459,784,553 is: 115,915,460,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123,551,322 : 75,459,784,553 = 75,459,784,553 : x
  2. Step 2: Convert to fraction form
    49,123,551,322/75,459,784,553 = 75,459,784,553/x
  3. Step 3: Cross multiply
    49,123,551,322x = 75,459,784,553 × 75,459,784,553
  4. Step 4: Simplify right side
    49,123,551,322x = 5,694,179,084,785,177,067,520
  5. Step 5: Solve for x
    x = 5,694,179,084,785,177,067,520/49,123,551,322
  6. Step 6: Final answer
    x = 115,915,460,742.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.