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Finding the Third Proportional to 1,592,405,941,360 and 3,509,394,922,304

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Solution

The third proportional to 1,592,405,941,360 and 3,509,394,922,304 is: 7,734,116,283,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,405,941,360 : 3,509,394,922,304 = 3,509,394,922,304 : x
  2. Step 2: Convert to fraction form
    1,592,405,941,360/3,509,394,922,304 = 3,509,394,922,304/x
  3. Step 3: Cross multiply
    1,592,405,941,360x = 3,509,394,922,304 × 3,509,394,922,304
  4. Step 4: Simplify right side
    1,592,405,941,360x = 12,315,852,720,693,098,166,878,208
  5. Step 5: Solve for x
    x = 12,315,852,720,693,098,166,878,208/1,592,405,941,360
  6. Step 6: Final answer
    x = 7,734,116,283,298.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.