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Finding the Third Proportional to 693,847,339.03 and 1,514,840,637.94

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Solution

The third proportional to 693,847,339.03 and 1,514,840,637.94 is: 3,307,272,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,847,339.03 : 1,514,840,637.94 = 1,514,840,637.94 : x
  2. Step 2: Convert to fraction form
    693,847,339.03/1,514,840,637.94 = 1,514,840,637.94/x
  3. Step 3: Cross multiply
    693,847,339.03x = 1,514,840,637.94 × 1,514,840,637.94
  4. Step 4: Simplify right side
    693,847,339.03x = 2,294,742,158,346,892,032
  5. Step 5: Solve for x
    x = 2,294,742,158,346,892,032/693,847,339.03
  6. Step 6: Final answer
    x = 3,307,272,405.99

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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.