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Finding the Third Proportional to 70,417,698 and 151,247,724

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Solution

The third proportional to 70,417,698 and 151,247,724 is: 324,859,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,417,698 : 151,247,724 = 151,247,724 : x
  2. Step 2: Convert to fraction form
    70,417,698/151,247,724 = 151,247,724/x
  3. Step 3: Cross multiply
    70,417,698x = 151,247,724 × 151,247,724
  4. Step 4: Simplify right side
    70,417,698x = 22,875,874,015,180,176
  5. Step 5: Solve for x
    x = 22,875,874,015,180,176/70,417,698
  6. Step 6: Final answer
    x = 324,859,725.11

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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.