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Finding the Third Proportional to 138,131,448,946 and 300,586,134,524

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Solution

The third proportional to 138,131,448,946 and 300,586,134,524 is: 654,101,762,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,131,448,946 : 300,586,134,524 = 300,586,134,524 : x
  2. Step 2: Convert to fraction form
    138,131,448,946/300,586,134,524 = 300,586,134,524/x
  3. Step 3: Cross multiply
    138,131,448,946x = 300,586,134,524 × 300,586,134,524
  4. Step 4: Simplify right side
    138,131,448,946x = 90,352,024,268,080,225,976,320
  5. Step 5: Solve for x
    x = 90,352,024,268,080,225,976,320/138,131,448,946
  6. Step 6: Final answer
    x = 654,101,762,904.13

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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.