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Finding the Third Proportional to 352,454,906 and 763,487,392

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Solution

The third proportional to 352,454,906 and 763,487,392 is: 1,653,865,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,454,906 : 763,487,392 = 763,487,392 : x
  2. Step 2: Convert to fraction form
    352,454,906/763,487,392 = 763,487,392/x
  3. Step 3: Cross multiply
    352,454,906x = 763,487,392 × 763,487,392
  4. Step 4: Simplify right side
    352,454,906x = 582,912,997,742,961,664
  5. Step 5: Solve for x
    x = 582,912,997,742,961,664/352,454,906
  6. Step 6: Final answer
    x = 1,653,865,467.10

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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.