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Finding the Third Proportional to 693,251,423,648 and 1,509,575,429,568

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Solution

The third proportional to 693,251,423,648 and 1,509,575,429,568 is: 3,287,145,038,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,251,423,648 : 1,509,575,429,568 = 1,509,575,429,568 : x
  2. Step 2: Convert to fraction form
    693,251,423,648/1,509,575,429,568 = 1,509,575,429,568/x
  3. Step 3: Cross multiply
    693,251,423,648x = 1,509,575,429,568 × 1,509,575,429,568
  4. Step 4: Simplify right side
    693,251,423,648x = 2,278,817,977,555,411,691,110,400
  5. Step 5: Solve for x
    x = 2,278,817,977,555,411,691,110,400/693,251,423,648
  6. Step 6: Final answer
    x = 3,287,145,038,323.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.