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Finding the Third Proportional to 32,749,034,196 and 50,306,523,000

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Solution

The third proportional to 32,749,034,196 and 50,306,523,000 is: 77,276,973,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749,034,196 : 50,306,523,000 = 50,306,523,000 : x
  2. Step 2: Convert to fraction form
    32,749,034,196/50,306,523,000 = 50,306,523,000/x
  3. Step 3: Cross multiply
    32,749,034,196x = 50,306,523,000 × 50,306,523,000
  4. Step 4: Simplify right side
    32,749,034,196x = 2,530,746,256,349,529,112,576
  5. Step 5: Solve for x
    x = 2,530,746,256,349,529,112,576/32,749,034,196
  6. Step 6: Final answer
    x = 77,276,973,763.66

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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.