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Finding the Third Proportional to 258,540,633 and 552,913,047

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Solution

The third proportional to 258,540,633 and 552,913,047 is: 1,182,455,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540,633 : 552,913,047 = 552,913,047 : x
  2. Step 2: Convert to fraction form
    258,540,633/552,913,047 = 552,913,047/x
  3. Step 3: Cross multiply
    258,540,633x = 552,913,047 × 552,913,047
  4. Step 4: Simplify right side
    258,540,633x = 305,712,837,542,824,192
  5. Step 5: Solve for x
    x = 305,712,837,542,824,192/258,540,633
  6. Step 6: Final answer
    x = 1,182,455,670.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.