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Finding the Third Proportional to 322,079,361,240 and 480,326,006,340

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Solution

The third proportional to 322,079,361,240 and 480,326,006,340 is: 716,323,677,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,079,361,240 : 480,326,006,340 = 480,326,006,340 : x
  2. Step 2: Convert to fraction form
    322,079,361,240/480,326,006,340 = 480,326,006,340/x
  3. Step 3: Cross multiply
    322,079,361,240x = 480,326,006,340 × 480,326,006,340
  4. Step 4: Simplify right side
    322,079,361,240x = 230,713,072,366,533,732,204,544
  5. Step 5: Solve for x
    x = 230,713,072,366,533,732,204,544/322,079,361,240
  6. Step 6: Final answer
    x = 716,323,677,115.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.