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Finding the Third Proportional to 1,634,563,818 and 2,537,972,703

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Solution

The third proportional to 1,634,563,818 and 2,537,972,703 is: 3,940,687,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,563,818 : 2,537,972,703 = 2,537,972,703 : x
  2. Step 2: Convert to fraction form
    1,634,563,818/2,537,972,703 = 2,537,972,703/x
  3. Step 3: Cross multiply
    1,634,563,818x = 2,537,972,703 × 2,537,972,703
  4. Step 4: Simplify right side
    1,634,563,818x = 6,441,305,441,173,126,144
  5. Step 5: Solve for x
    x = 6,441,305,441,173,126,144/1,634,563,818
  6. Step 6: Final answer
    x = 3,940,687,644.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.