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Finding the Third Proportional to 7,185,730,150 and 15,726,075,736

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Solution

The third proportional to 7,185,730,150 and 15,726,075,736 is: 34,416,747,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185,730,150 : 15,726,075,736 = 15,726,075,736 : x
  2. Step 2: Convert to fraction form
    7,185,730,150/15,726,075,736 = 15,726,075,736/x
  3. Step 3: Cross multiply
    7,185,730,150x = 15,726,075,736 × 15,726,075,736
  4. Step 4: Simplify right side
    7,185,730,150x = 247,309,458,054,407,946,240
  5. Step 5: Solve for x
    x = 247,309,458,054,407,946,240/7,185,730,150
  6. Step 6: Final answer
    x = 34,416,747,204.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.