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Finding the Third Proportional to 10,214,895,091 and 14,378,554,966

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Solution

The third proportional to 10,214,895,091 and 14,378,554,966 is: 20,239,350,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214,895,091 : 14,378,554,966 = 14,378,554,966 : x
  2. Step 2: Convert to fraction form
    10,214,895,091/14,378,554,966 = 14,378,554,966/x
  3. Step 3: Cross multiply
    10,214,895,091x = 14,378,554,966 × 14,378,554,966
  4. Step 4: Simplify right side
    10,214,895,091x = 206,742,842,910,283,268,096
  5. Step 5: Solve for x
    x = 206,742,842,910,283,268,096/10,214,895,091
  6. Step 6: Final answer
    x = 20,239,350,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.