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Finding the Third Proportional to 1,592,405,901,648 and 3,509,394,841,332

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Solution

The third proportional to 1,592,405,901,648 and 3,509,394,841,332 is: 7,734,116,119,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,405,901,648 : 3,509,394,841,332 = 3,509,394,841,332 : x
  2. Step 2: Convert to fraction form
    1,592,405,901,648/3,509,394,841,332 = 3,509,394,841,332/x
  3. Step 3: Cross multiply
    1,592,405,901,648x = 3,509,394,841,332 × 3,509,394,841,332
  4. Step 4: Simplify right side
    1,592,405,901,648x = 12,315,852,152,367,653,872,205,824
  5. Step 5: Solve for x
    x = 12,315,852,152,367,653,872,205,824/1,592,405,901,648
  6. Step 6: Final answer
    x = 7,734,116,119,277.02

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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.