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Finding the Third Proportional to 511,514,055 and 747,851,440.50

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Solution

The third proportional to 511,514,055 and 747,851,440.50 is: 1,093,384,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,514,055 : 747,851,440.50 = 747,851,440.50 : x
  2. Step 2: Convert to fraction form
    511,514,055/747,851,440.50 = 747,851,440.50/x
  3. Step 3: Cross multiply
    511,514,055x = 747,851,440.50 × 747,851,440.50
  4. Step 4: Simplify right side
    511,514,055x = 559,281,777,057,925,056
  5. Step 5: Solve for x
    x = 559,281,777,057,925,056/511,514,055
  6. Step 6: Final answer
    x = 1,093,384,964.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.