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Finding the Third Proportional to 243,340,810 and 541,087,556

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Solution

The third proportional to 243,340,810 and 541,087,556 is: 1,203,151,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,340,810 : 541,087,556 = 541,087,556 : x
  2. Step 2: Convert to fraction form
    243,340,810/541,087,556 = 541,087,556/x
  3. Step 3: Cross multiply
    243,340,810x = 541,087,556 × 541,087,556
  4. Step 4: Simplify right side
    243,340,810x = 292,775,743,258,053,120
  5. Step 5: Solve for x
    x = 292,775,743,258,053,120/243,340,810
  6. Step 6: Final answer
    x = 1,203,151,017.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.