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Finding the Third Proportional to 352,481,088 and 763,520,640

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Solution

The third proportional to 352,481,088 and 763,520,640 is: 1,653,886,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,481,088 : 763,520,640 = 763,520,640 : x
  2. Step 2: Convert to fraction form
    352,481,088/763,520,640 = 763,520,640/x
  3. Step 3: Cross multiply
    352,481,088x = 763,520,640 × 763,520,640
  4. Step 4: Simplify right side
    352,481,088x = 582,963,767,706,009,600
  5. Step 5: Solve for x
    x = 582,963,767,706,009,600/352,481,088
  6. Step 6: Final answer
    x = 1,653,886,655.35

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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.