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Finding the Third Proportional to 316,733,864 and 662,426,844

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Solution

The third proportional to 316,733,864 and 662,426,844 is: 1,385,419,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,733,864 : 662,426,844 = 662,426,844 : x
  2. Step 2: Convert to fraction form
    316,733,864/662,426,844 = 662,426,844/x
  3. Step 3: Cross multiply
    316,733,864x = 662,426,844 × 662,426,844
  4. Step 4: Simplify right side
    316,733,864x = 438,809,323,651,800,320
  5. Step 5: Solve for x
    x = 438,809,323,651,800,320/316,733,864
  6. Step 6: Final answer
    x = 1,385,419,664.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.