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Finding the Third Proportional to 255,904,072 and 552,584,732

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Solution

The third proportional to 255,904,072 and 552,584,732 is: 1,193,220,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904,072 : 552,584,732 = 552,584,732 : x
  2. Step 2: Convert to fraction form
    255,904,072/552,584,732 = 552,584,732/x
  3. Step 3: Cross multiply
    255,904,072x = 552,584,732 × 552,584,732
  4. Step 4: Simplify right side
    255,904,072x = 305,349,886,039,511,808
  5. Step 5: Solve for x
    x = 305,349,886,039,511,808/255,904,072
  6. Step 6: Final answer
    x = 1,193,220,114.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.