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Finding the Third Proportional to 635,537,810 and 1,368,462,118

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Solution

The third proportional to 635,537,810 and 1,368,462,118 is: 2,946,620,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,537,810 : 1,368,462,118 = 1,368,462,118 : x
  2. Step 2: Convert to fraction form
    635,537,810/1,368,462,118 = 1,368,462,118/x
  3. Step 3: Cross multiply
    635,537,810x = 1,368,462,118 × 1,368,462,118
  4. Step 4: Simplify right side
    635,537,810x = 1,872,688,568,401,046,016
  5. Step 5: Solve for x
    x = 1,872,688,568,401,046,016/635,537,810
  6. Step 6: Final answer
    x = 2,946,620,230.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.