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Finding the Third Proportional to 3,285,649,992,075 and 7,023,472,346,838

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Solution

The third proportional to 3,285,649,992,075 and 7,023,472,346,838 is: 15,013,517,546,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,649,992,075 : 7,023,472,346,838 = 7,023,472,346,838 : x
  2. Step 2: Convert to fraction form
    3,285,649,992,075/7,023,472,346,838 = 7,023,472,346,838/x
  3. Step 3: Cross multiply
    3,285,649,992,075x = 7,023,472,346,838 × 7,023,472,346,838
  4. Step 4: Simplify right side
    3,285,649,992,075x = 49,329,163,806,798,085,282,070,528
  5. Step 5: Solve for x
    x = 49,329,163,806,798,085,282,070,528/3,285,649,992,075
  6. Step 6: Final answer
    x = 15,013,517,546,232.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.