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Finding the Third Proportional to 120,650,778,720 and 253,804,618,944

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Solution

The third proportional to 120,650,778,720 and 253,804,618,944 is: 533,911,055,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650,778,720 : 253,804,618,944 = 253,804,618,944 : x
  2. Step 2: Convert to fraction form
    120,650,778,720/253,804,618,944 = 253,804,618,944/x
  3. Step 3: Cross multiply
    120,650,778,720x = 253,804,618,944 × 253,804,618,944
  4. Step 4: Simplify right side
    120,650,778,720x = 64,416,784,597,309,047,439,360
  5. Step 5: Solve for x
    x = 64,416,784,597,309,047,439,360/120,650,778,720
  6. Step 6: Final answer
    x = 533,911,055,367.53

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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.