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Finding the Third Proportional to 74,915,833,736 and 176,787,958,680

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Solution

The third proportional to 74,915,833,736 and 176,787,958,680 is: 417,187,939,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,915,833,736 : 176,787,958,680 = 176,787,958,680 : x
  2. Step 2: Convert to fraction form
    74,915,833,736/176,787,958,680 = 176,787,958,680/x
  3. Step 3: Cross multiply
    74,915,833,736x = 176,787,958,680 × 176,787,958,680
  4. Step 4: Simplify right side
    74,915,833,736x = 31,253,982,334,241,386,528,768
  5. Step 5: Solve for x
    x = 31,253,982,334,241,386,528,768/74,915,833,736
  6. Step 6: Final answer
    x = 417,187,939,793.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.