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Finding the Third Proportional to 2,852,126,735 and 6,096,764,201

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Solution

The third proportional to 2,852,126,735 and 6,096,764,201 is: 13,032,567,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,126,735 : 6,096,764,201 = 6,096,764,201 : x
  2. Step 2: Convert to fraction form
    2,852,126,735/6,096,764,201 = 6,096,764,201/x
  3. Step 3: Cross multiply
    2,852,126,735x = 6,096,764,201 × 6,096,764,201
  4. Step 4: Simplify right side
    2,852,126,735x = 37,170,533,722,595,172,352
  5. Step 5: Solve for x
    x = 37,170,533,722,595,172,352/2,852,126,735
  6. Step 6: Final answer
    x = 13,032,567,335.26

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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.