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Finding the Third Proportional to 32,500,978,323 and 45,768,539,448

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Solution

The third proportional to 32,500,978,323 and 45,768,539,448 is: 64,452,189,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500,978,323 : 45,768,539,448 = 45,768,539,448 : x
  2. Step 2: Convert to fraction form
    32,500,978,323/45,768,539,448 = 45,768,539,448/x
  3. Step 3: Cross multiply
    32,500,978,323x = 45,768,539,448 × 45,768,539,448
  4. Step 4: Simplify right side
    32,500,978,323x = 2,094,759,203,203,132,162,048
  5. Step 5: Solve for x
    x = 2,094,759,203,203,132,162,048/32,500,978,323
  6. Step 6: Final answer
    x = 64,452,189,173.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.