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Finding the Third Proportional to 163,414,711 and 350,142,678

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Solution

The third proportional to 163,414,711 and 350,142,678 is: 750,237,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,414,711 : 350,142,678 = 350,142,678 : x
  2. Step 2: Convert to fraction form
    163,414,711/350,142,678 = 350,142,678/x
  3. Step 3: Cross multiply
    163,414,711x = 350,142,678 × 350,142,678
  4. Step 4: Simplify right side
    163,414,711x = 122,599,894,957,011,680
  5. Step 5: Solve for x
    x = 122,599,894,957,011,680/163,414,711
  6. Step 6: Final answer
    x = 750,237,810.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.