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Finding the Third Proportional to 3,414,684,243 and 7,614,514,603

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Solution

The third proportional to 3,414,684,243 and 7,614,514,603 is: 16,979,851,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,684,243 : 7,614,514,603 = 7,614,514,603 : x
  2. Step 2: Convert to fraction form
    3,414,684,243/7,614,514,603 = 7,614,514,603/x
  3. Step 3: Cross multiply
    3,414,684,243x = 7,614,514,603 × 7,614,514,603
  4. Step 4: Simplify right side
    3,414,684,243x = 57,980,832,639,300,247,552
  5. Step 5: Solve for x
    x = 57,980,832,639,300,247,552/3,414,684,243
  6. Step 6: Final answer
    x = 16,979,851,873.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.