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Finding the Third Proportional to 538,097,392.69 and 769,480,187.91

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Solution

The third proportional to 538,097,392.69 and 769,480,187.91 is: 1,100,357,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097,392.69 : 769,480,187.91 = 769,480,187.91 : x
  2. Step 2: Convert to fraction form
    538,097,392.69/769,480,187.91 = 769,480,187.91/x
  3. Step 3: Cross multiply
    538,097,392.69x = 769,480,187.91 × 769,480,187.91
  4. Step 4: Simplify right side
    538,097,392.69x = 592,099,759,580,222,336
  5. Step 5: Solve for x
    x = 592,099,759,580,222,336/538,097,392.69
  6. Step 6: Final answer
    x = 1,100,357,979.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.