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Finding the Third Proportional to 3,236,268,007 and 7,102,459,550

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Solution

The third proportional to 3,236,268,007 and 7,102,459,550 is: 15,587,377,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236,268,007 : 7,102,459,550 = 7,102,459,550 : x
  2. Step 2: Convert to fraction form
    3,236,268,007/7,102,459,550 = 7,102,459,550/x
  3. Step 3: Cross multiply
    3,236,268,007x = 7,102,459,550 × 7,102,459,550
  4. Step 4: Simplify right side
    3,236,268,007x = 50,444,931,659,386,200,064
  5. Step 5: Solve for x
    x = 50,444,931,659,386,200,064/3,236,268,007
  6. Step 6: Final answer
    x = 15,587,377,667.82

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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.