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Finding the Third Proportional to 538,807,768 and 788,056,232

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Solution

The third proportional to 538,807,768 and 788,056,232 is: 1,152,605,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,807,768 : 788,056,232 = 788,056,232 : x
  2. Step 2: Convert to fraction form
    538,807,768/788,056,232 = 788,056,232/x
  3. Step 3: Cross multiply
    538,807,768x = 788,056,232 × 788,056,232
  4. Step 4: Simplify right side
    538,807,768x = 621,032,624,794,037,760
  5. Step 5: Solve for x
    x = 621,032,624,794,037,760/538,807,768
  6. Step 6: Final answer
    x = 1,152,605,180.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.