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Finding the Third Proportional to 271,754,459,178 and 405,275,065,335

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Solution

The third proportional to 271,754,459,178 and 405,275,065,335 is: 604,398,099,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754,459,178 : 405,275,065,335 = 405,275,065,335 : x
  2. Step 2: Convert to fraction form
    271,754,459,178/405,275,065,335 = 405,275,065,335/x
  3. Step 3: Cross multiply
    271,754,459,178x = 405,275,065,335 × 405,275,065,335
  4. Step 4: Simplify right side
    271,754,459,178x = 164,247,878,582,288,533,946,368
  5. Step 5: Solve for x
    x = 164,247,878,582,288,533,946,368/271,754,459,178
  6. Step 6: Final answer
    x = 604,398,099,222.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.