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Finding the Third Proportional to 32,781,290,256 and 70,534,466,784

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Solution

The third proportional to 32,781,290,256 and 70,534,466,784 is: 151,766,784,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,290,256 : 70,534,466,784 = 70,534,466,784 : x
  2. Step 2: Convert to fraction form
    32,781,290,256/70,534,466,784 = 70,534,466,784/x
  3. Step 3: Cross multiply
    32,781,290,256x = 70,534,466,784 × 70,534,466,784
  4. Step 4: Simplify right side
    32,781,290,256x = 4,975,111,004,503,198,924,800
  5. Step 5: Solve for x
    x = 4,975,111,004,503,198,924,800/32,781,290,256
  6. Step 6: Final answer
    x = 151,766,784,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.