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Finding the Third Proportional to 423,963,744 and 638,068,464

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Solution

The third proportional to 423,963,744 and 638,068,464 is: 960,297,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,963,744 : 638,068,464 = 638,068,464 : x
  2. Step 2: Convert to fraction form
    423,963,744/638,068,464 = 638,068,464/x
  3. Step 3: Cross multiply
    423,963,744x = 638,068,464 × 638,068,464
  4. Step 4: Simplify right side
    423,963,744x = 407,131,364,751,319,296
  5. Step 5: Solve for x
    x = 407,131,364,751,319,296/423,963,744
  6. Step 6: Final answer
    x = 960,297,597.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.