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Finding the Third Proportional to 300,018,934.13 and 450,827,164.13

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Solution

The third proportional to 300,018,934.13 and 450,827,164.13 is: 677,441,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,934.13 : 450,827,164.13 = 450,827,164.13 : x
  2. Step 2: Convert to fraction form
    300,018,934.13/450,827,164.13 = 450,827,164.13/x
  3. Step 3: Cross multiply
    300,018,934.13x = 450,827,164.13 × 450,827,164.13
  4. Step 4: Simplify right side
    300,018,934.13x = 203,245,131,912,989,696
  5. Step 5: Solve for x
    x = 203,245,131,912,989,696/300,018,934.13
  6. Step 6: Final answer
    x = 677,441,017.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.