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Finding the Third Proportional to 214,621,009 and 464,896,660

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Solution

The third proportional to 214,621,009 and 464,896,660 is: 1,007,025,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,621,009 : 464,896,660 = 464,896,660 : x
  2. Step 2: Convert to fraction form
    214,621,009/464,896,660 = 464,896,660/x
  3. Step 3: Cross multiply
    214,621,009x = 464,896,660 × 464,896,660
  4. Step 4: Simplify right side
    214,621,009x = 216,128,904,479,155,584
  5. Step 5: Solve for x
    x = 216,128,904,479,155,584/214,621,009
  6. Step 6: Final answer
    x = 1,007,025,852.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.