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Finding the Third Proportional to 1,246,819,728 and 2,710,661,352

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Solution

The third proportional to 1,246,819,728 and 2,710,661,352 is: 5,893,141,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,819,728 : 2,710,661,352 = 2,710,661,352 : x
  2. Step 2: Convert to fraction form
    1,246,819,728/2,710,661,352 = 2,710,661,352/x
  3. Step 3: Cross multiply
    1,246,819,728x = 2,710,661,352 × 2,710,661,352
  4. Step 4: Simplify right side
    1,246,819,728x = 7,347,684,965,226,468,352
  5. Step 5: Solve for x
    x = 7,347,684,965,226,468,352/1,246,819,728
  6. Step 6: Final answer
    x = 5,893,141,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.