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Finding the Third Proportional to 693,847,344 and 1,514,840,648

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Solution

The third proportional to 693,847,344 and 1,514,840,648 is: 3,307,272,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,847,344 : 1,514,840,648 = 1,514,840,648 : x
  2. Step 2: Convert to fraction form
    693,847,344/1,514,840,648 = 1,514,840,648/x
  3. Step 3: Cross multiply
    693,847,344x = 1,514,840,648 × 1,514,840,648
  4. Step 4: Simplify right side
    693,847,344x = 2,294,742,188,833,059,840
  5. Step 5: Solve for x
    x = 2,294,742,188,833,059,840/693,847,344
  6. Step 6: Final answer
    x = 3,307,272,426.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.