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Finding the Third Proportional to 120,650,778,724 and 253,804,618,952

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Solution

The third proportional to 120,650,778,724 and 253,804,618,952 is: 533,911,055,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650,778,724 : 253,804,618,952 = 253,804,618,952 : x
  2. Step 2: Convert to fraction form
    120,650,778,724/253,804,618,952 = 253,804,618,952/x
  3. Step 3: Cross multiply
    120,650,778,724x = 253,804,618,952 × 253,804,618,952
  4. Step 4: Simplify right side
    120,650,778,724x = 64,416,784,601,369,913,851,904
  5. Step 5: Solve for x
    x = 64,416,784,601,369,913,851,904/120,650,778,724
  6. Step 6: Final answer
    x = 533,911,055,383.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.