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Finding the Third Proportional to 32,749,034,212 and 50,306,523,024

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Solution

The third proportional to 32,749,034,212 and 50,306,523,024 is: 77,276,973,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749,034,212 : 50,306,523,024 = 50,306,523,024 : x
  2. Step 2: Convert to fraction form
    32,749,034,212/50,306,523,024 = 50,306,523,024/x
  3. Step 3: Cross multiply
    32,749,034,212x = 50,306,523,024 × 50,306,523,024
  4. Step 4: Simplify right side
    32,749,034,212x = 2,530,746,258,764,242,354,176
  5. Step 5: Solve for x
    x = 2,530,746,258,764,242,354,176/32,749,034,212
  6. Step 6: Final answer
    x = 77,276,973,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.