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Finding the Third Proportional to 517,372,363,410 and 1,132,277,236,758

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Solution

The third proportional to 517,372,363,410 and 1,132,277,236,758 is: 2,478,005,845,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,372,363,410 : 1,132,277,236,758 = 1,132,277,236,758 : x
  2. Step 2: Convert to fraction form
    517,372,363,410/1,132,277,236,758 = 1,132,277,236,758/x
  3. Step 3: Cross multiply
    517,372,363,410x = 1,132,277,236,758 × 1,132,277,236,758
  4. Step 4: Simplify right side
    517,372,363,410x = 1,282,051,740,880,331,864,014,848
  5. Step 5: Solve for x
    x = 1,282,051,740,880,331,864,014,848/517,372,363,410
  6. Step 6: Final answer
    x = 2,478,005,845,597.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.