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Finding the Third Proportional to 30,179,669,688,029 and 65,647,129,787,482

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Solution

The third proportional to 30,179,669,688,029 and 65,647,129,787,482 is: 142,796,315,992,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179,669,688,029 : 65,647,129,787,482 = 65,647,129,787,482 : x
  2. Step 2: Convert to fraction form
    30,179,669,688,029/65,647,129,787,482 = 65,647,129,787,482/x
  3. Step 3: Cross multiply
    30,179,669,688,029x = 65,647,129,787,482 × 65,647,129,787,482
  4. Step 4: Simplify right side
    30,179,669,688,029x = 4,309,545,649,334,506,650,463,109,120
  5. Step 5: Solve for x
    x = 4,309,545,649,334,506,650,463,109,120/30,179,669,688,029
  6. Step 6: Final answer
    x = 142,796,315,992,945.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.