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Finding the Third Proportional to 310,138,914,528 and 674,617,395,744

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Solution

The third proportional to 310,138,914,528 and 674,617,395,744 is: 1,467,434,782,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,138,914,528 : 674,617,395,744 = 674,617,395,744 : x
  2. Step 2: Convert to fraction form
    310,138,914,528/674,617,395,744 = 674,617,395,744/x
  3. Step 3: Cross multiply
    310,138,914,528x = 674,617,395,744 × 674,617,395,744
  4. Step 4: Simplify right side
    310,138,914,528x = 455,108,630,640,416,717,275,136
  5. Step 5: Solve for x
    x = 455,108,630,640,416,717,275,136/310,138,914,528
  6. Step 6: Final answer
    x = 1,467,434,782,678.10

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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.