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Finding the Third Proportional to 18,732,292,765 and 40,450,188,125

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Solution

The third proportional to 18,732,292,765 and 40,450,188,125 is: 87,347,434,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732,292,765 : 40,450,188,125 = 40,450,188,125 : x
  2. Step 2: Convert to fraction form
    18,732,292,765/40,450,188,125 = 40,450,188,125/x
  3. Step 3: Cross multiply
    18,732,292,765x = 40,450,188,125 × 40,450,188,125
  4. Step 4: Simplify right side
    18,732,292,765x = 1,636,217,719,347,891,142,656
  5. Step 5: Solve for x
    x = 1,636,217,719,347,891,142,656/18,732,292,765
  6. Step 6: Final answer
    x = 87,347,434,714.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.