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Finding the Third Proportional to 300,018,703.50 and 450,826,807.50

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Solution

The third proportional to 300,018,703.50 and 450,826,807.50 is: 677,440,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,703.50 : 450,826,807.50 = 450,826,807.50 : x
  2. Step 2: Convert to fraction form
    300,018,703.50/450,826,807.50 = 450,826,807.50/x
  3. Step 3: Cross multiply
    300,018,703.50x = 450,826,807.50 × 450,826,807.50
  4. Step 4: Simplify right side
    300,018,703.50x = 203,244,810,360,642,048
  5. Step 5: Solve for x
    x = 203,244,810,360,642,048/300,018,703.50
  6. Step 6: Final answer
    x = 677,440,466.18

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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.