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Finding the Third Proportional to 270,354,965.63 and 555,042,132

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Solution

The third proportional to 270,354,965.63 and 555,042,132 is: 1,139,508,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,965.63 : 555,042,132 = 555,042,132 : x
  2. Step 2: Convert to fraction form
    270,354,965.63/555,042,132 = 555,042,132/x
  3. Step 3: Cross multiply
    270,354,965.63x = 555,042,132 × 555,042,132
  4. Step 4: Simplify right side
    270,354,965.63x = 308,071,768,295,105,408
  5. Step 5: Solve for x
    x = 308,071,768,295,105,408/270,354,965.63
  6. Step 6: Final answer
    x = 1,139,508,451.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.