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Finding the Third Proportional to 550,833,264 and 1,209,879,517.50

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Solution

The third proportional to 550,833,264 and 1,209,879,517.50 is: 2,657,443,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,833,264 : 1,209,879,517.50 = 1,209,879,517.50 : x
  2. Step 2: Convert to fraction form
    550,833,264/1,209,879,517.50 = 1,209,879,517.50/x
  3. Step 3: Cross multiply
    550,833,264x = 1,209,879,517.50 × 1,209,879,517.50
  4. Step 4: Simplify right side
    550,833,264x = 1,463,808,446,866,032,896
  5. Step 5: Solve for x
    x = 1,463,808,446,866,032,896/550,833,264
  6. Step 6: Final answer
    x = 2,657,443,808.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.