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Finding the Third Proportional to 2,852,126,738 and 6,096,764,206

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Solution

The third proportional to 2,852,126,738 and 6,096,764,206 is: 13,032,567,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,126,738 : 6,096,764,206 = 6,096,764,206 : x
  2. Step 2: Convert to fraction form
    2,852,126,738/6,096,764,206 = 6,096,764,206/x
  3. Step 3: Cross multiply
    2,852,126,738x = 6,096,764,206 × 6,096,764,206
  4. Step 4: Simplify right side
    2,852,126,738x = 37,170,533,783,562,813,440
  5. Step 5: Solve for x
    x = 37,170,533,783,562,813,440/2,852,126,738
  6. Step 6: Final answer
    x = 13,032,567,342.93

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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.