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Finding the Third Proportional to 121,794,961,261 and 253,613,132,637

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Solution

The third proportional to 121,794,961,261 and 253,613,132,637 is: 528,097,553,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,794,961,261 : 253,613,132,637 = 253,613,132,637 : x
  2. Step 2: Convert to fraction form
    121,794,961,261/253,613,132,637 = 253,613,132,637/x
  3. Step 3: Cross multiply
    121,794,961,261x = 253,613,132,637 × 253,613,132,637
  4. Step 4: Simplify right side
    121,794,961,261x = 64,319,621,045,952,557,613,056
  5. Step 5: Solve for x
    x = 64,319,621,045,952,557,613,056/121,794,961,261
  6. Step 6: Final answer
    x = 528,097,553,297.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.