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Finding the Third Proportional to 689,830,090,960 and 1,509,703,263,908

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Solution

The third proportional to 689,830,090,960 and 1,509,703,263,908 is: 3,304,007,718,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,830,090,960 : 1,509,703,263,908 = 1,509,703,263,908 : x
  2. Step 2: Convert to fraction form
    689,830,090,960/1,509,703,263,908 = 1,509,703,263,908/x
  3. Step 3: Cross multiply
    689,830,090,960x = 1,509,703,263,908 × 1,509,703,263,908
  4. Step 4: Simplify right side
    689,830,090,960x = 2,279,203,945,054,468,248,174,592
  5. Step 5: Solve for x
    x = 2,279,203,945,054,468,248,174,592/689,830,090,960
  6. Step 6: Final answer
    x = 3,304,007,718,600.13

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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.