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Finding the Third Proportional to 270,354,604.50 and 555,041,511

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Solution

The third proportional to 270,354,604.50 and 555,041,511 is: 1,139,507,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,604.50 : 555,041,511 = 555,041,511 : x
  2. Step 2: Convert to fraction form
    270,354,604.50/555,041,511 = 555,041,511/x
  3. Step 3: Cross multiply
    270,354,604.50x = 555,041,511 × 555,041,511
  4. Step 4: Simplify right side
    270,354,604.50x = 308,071,078,933,163,136
  5. Step 5: Solve for x
    x = 308,071,078,933,163,136/270,354,604.50
  6. Step 6: Final answer
    x = 1,139,507,423.97

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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.