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Finding the Third Proportional to 125,739,494,046 and 274,236,513,201

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Solution

The third proportional to 125,739,494,046 and 274,236,513,201 is: 598,106,949,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739,494,046 : 274,236,513,201 = 274,236,513,201 : x
  2. Step 2: Convert to fraction form
    125,739,494,046/274,236,513,201 = 274,236,513,201/x
  3. Step 3: Cross multiply
    125,739,494,046x = 274,236,513,201 × 274,236,513,201
  4. Step 4: Simplify right side
    125,739,494,046x = 75,205,665,172,642,248,785,920
  5. Step 5: Solve for x
    x = 75,205,665,172,642,248,785,920/125,739,494,046
  6. Step 6: Final answer
    x = 598,106,949,158.94

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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.