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Finding the Third Proportional to 450,028,461.94 and 676,240,827.19

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Solution

The third proportional to 450,028,461.94 and 676,240,827.19 is: 1,016,161,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,028,461.94 : 676,240,827.19 = 676,240,827.19 : x
  2. Step 2: Convert to fraction form
    450,028,461.94/676,240,827.19 = 676,240,827.19/x
  3. Step 3: Cross multiply
    450,028,461.94x = 676,240,827.19 × 676,240,827.19
  4. Step 4: Simplify right side
    450,028,461.94x = 457,301,656,355,234,240
  5. Step 5: Solve for x
    x = 457,301,656,355,234,240/450,028,461.94
  6. Step 6: Final answer
    x = 1,016,161,632.06

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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.