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Finding the Third Proportional to 214,621,007 and 464,896,656

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Solution

The third proportional to 214,621,007 and 464,896,656 is: 1,007,025,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,621,007 : 464,896,656 = 464,896,656 : x
  2. Step 2: Convert to fraction form
    214,621,007/464,896,656 = 464,896,656/x
  3. Step 3: Cross multiply
    214,621,007x = 464,896,656 × 464,896,656
  4. Step 4: Simplify right side
    214,621,007x = 216,128,900,759,982,336
  5. Step 5: Solve for x
    x = 216,128,900,759,982,336/214,621,007
  6. Step 6: Final answer
    x = 1,007,025,844.21

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