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Finding the Third Proportional to 26,119,461,498 and 53,335,239,834

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Solution

The third proportional to 26,119,461,498 and 53,335,239,834 is: 108,909,129,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,119,461,498 : 53,335,239,834 = 53,335,239,834 : x
  2. Step 2: Convert to fraction form
    26,119,461,498/53,335,239,834 = 53,335,239,834/x
  3. Step 3: Cross multiply
    26,119,461,498x = 53,335,239,834 × 53,335,239,834
  4. Step 4: Simplify right side
    26,119,461,498x = 2,844,647,808,150,300,262,400
  5. Step 5: Solve for x
    x = 2,844,647,808,150,300,262,400/26,119,461,498
  6. Step 6: Final answer
    x = 108,909,129,247.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.