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Finding the Third Proportional to 67,180,477,108 and 144,330,718,490

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Solution

The third proportional to 67,180,477,108 and 144,330,718,490 is: 310,080,505,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,180,477,108 : 144,330,718,490 = 144,330,718,490 : x
  2. Step 2: Convert to fraction form
    67,180,477,108/144,330,718,490 = 144,330,718,490/x
  3. Step 3: Cross multiply
    67,180,477,108x = 144,330,718,490 × 144,330,718,490
  4. Step 4: Simplify right side
    67,180,477,108x = 20,831,356,299,839,629,426,688
  5. Step 5: Solve for x
    x = 20,831,356,299,839,629,426,688/67,180,477,108
  6. Step 6: Final answer
    x = 310,080,505,477.07

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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.