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Finding the Third Proportional to 3,283,337,619,746 and 7,060,806,261,128

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Solution

The third proportional to 3,283,337,619,746 and 7,060,806,261,128 is: 15,184,239,585,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283,337,619,746 : 7,060,806,261,128 = 7,060,806,261,128 : x
  2. Step 2: Convert to fraction form
    3,283,337,619,746/7,060,806,261,128 = 7,060,806,261,128/x
  3. Step 3: Cross multiply
    3,283,337,619,746x = 7,060,806,261,128 × 7,060,806,261,128
  4. Step 4: Simplify right side
    3,283,337,619,746x = 49,854,985,057,184,364,781,109,248
  5. Step 5: Solve for x
    x = 49,854,985,057,184,364,781,109,248/3,283,337,619,746
  6. Step 6: Final answer
    x = 15,184,239,585,157.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.