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Finding the Third Proportional to 33,387,096,735 and 72,004,221,639

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Solution

The third proportional to 33,387,096,735 and 72,004,221,639 is: 155,287,774,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387,096,735 : 72,004,221,639 = 72,004,221,639 : x
  2. Step 2: Convert to fraction form
    33,387,096,735/72,004,221,639 = 72,004,221,639/x
  3. Step 3: Cross multiply
    33,387,096,735x = 72,004,221,639 × 72,004,221,639
  4. Step 4: Simplify right side
    33,387,096,735x = 5,184,607,933,838,236,057,600
  5. Step 5: Solve for x
    x = 5,184,607,933,838,236,057,600/33,387,096,735
  6. Step 6: Final answer
    x = 155,287,774,046.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.