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Finding the Third Proportional to 550,833,267 and 1,209,879,523.50

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Solution

The third proportional to 550,833,267 and 1,209,879,523.50 is: 2,657,443,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,833,267 : 1,209,879,523.50 = 1,209,879,523.50 : x
  2. Step 2: Convert to fraction form
    550,833,267/1,209,879,523.50 = 1,209,879,523.50/x
  3. Step 3: Cross multiply
    550,833,267x = 1,209,879,523.50 × 1,209,879,523.50
  4. Step 4: Simplify right side
    550,833,267x = 1,463,808,461,384,587,008
  5. Step 5: Solve for x
    x = 1,463,808,461,384,587,008/550,833,267
  6. Step 6: Final answer
    x = 2,657,443,820.26

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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.