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Finding the Third Proportional to 689,829,817,884 and 1,509,702,982,352

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Solution

The third proportional to 689,829,817,884 and 1,509,702,982,352 is: 3,304,007,794,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,829,817,884 : 1,509,702,982,352 = 1,509,702,982,352 : x
  2. Step 2: Convert to fraction form
    689,829,817,884/1,509,702,982,352 = 1,509,702,982,352/x
  3. Step 3: Cross multiply
    689,829,817,884x = 1,509,702,982,352 × 1,509,702,982,352
  4. Step 4: Simplify right side
    689,829,817,884x = 2,279,203,094,922,523,280,670,720
  5. Step 5: Solve for x
    x = 2,279,203,094,922,523,280,670,720/689,829,817,884
  6. Step 6: Final answer
    x = 3,304,007,794,145.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.