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Finding the Third Proportional to 64,432,915,562 and 130,703,055,874

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Solution

The third proportional to 64,432,915,562 and 130,703,055,874 is: 265,132,947,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432,915,562 : 130,703,055,874 = 130,703,055,874 : x
  2. Step 2: Convert to fraction form
    64,432,915,562/130,703,055,874 = 130,703,055,874/x
  3. Step 3: Cross multiply
    64,432,915,562x = 130,703,055,874 × 130,703,055,874
  4. Step 4: Simplify right side
    64,432,915,562x = 17,083,288,814,801,966,333,952
  5. Step 5: Solve for x
    x = 17,083,288,814,801,966,333,952/64,432,915,562
  6. Step 6: Final answer
    x = 265,132,947,435.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.