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Finding the Third Proportional to 1,634,563,605.75 and 2,537,972,385

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Solution

The third proportional to 1,634,563,605.75 and 2,537,972,385 is: 3,940,687,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,563,605.75 : 2,537,972,385 = 2,537,972,385 : x
  2. Step 2: Convert to fraction form
    1,634,563,605.75/2,537,972,385 = 2,537,972,385/x
  3. Step 3: Cross multiply
    1,634,563,605.75x = 2,537,972,385 × 2,537,972,385
  4. Step 4: Simplify right side
    1,634,563,605.75x = 6,441,303,827,022,587,904
  5. Step 5: Solve for x
    x = 6,441,303,827,022,587,904/1,634,563,605.75
  6. Step 6: Final answer
    x = 3,940,687,168.34

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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.