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Finding the Third Proportional to 689,829,817,875 and 1,509,702,982,338

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Solution

The third proportional to 689,829,817,875 and 1,509,702,982,338 is: 3,304,007,794,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,829,817,875 : 1,509,702,982,338 = 1,509,702,982,338 : x
  2. Step 2: Convert to fraction form
    689,829,817,875/1,509,702,982,338 = 1,509,702,982,338/x
  3. Step 3: Cross multiply
    689,829,817,875x = 1,509,702,982,338 × 1,509,702,982,338
  4. Step 4: Simplify right side
    689,829,817,875x = 2,279,203,094,880,251,407,237,120
  5. Step 5: Solve for x
    x = 2,279,203,094,880,251,407,237,120/689,829,817,875
  6. Step 6: Final answer
    x = 3,304,007,794,127.06

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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.