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Finding the Third Proportional to 763,470,642,305.25 and 1,660,983,941,262.30

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Solution

The third proportional to 763,470,642,305.25 and 1,660,983,941,262.30 is: 3,613,587,085,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,470,642,305.25 : 1,660,983,941,262.30 = 1,660,983,941,262.30 : x
  2. Step 2: Convert to fraction form
    763,470,642,305.25/1,660,983,941,262.30 = 1,660,983,941,262.30/x
  3. Step 3: Cross multiply
    763,470,642,305.25x = 1,660,983,941,262.30 × 1,660,983,941,262.30
  4. Step 4: Simplify right side
    763,470,642,305.25x = 2,758,867,653,131,243,903,516,672
  5. Step 5: Solve for x
    x = 2,758,867,653,131,243,903,516,672/763,470,642,305.25
  6. Step 6: Final answer
    x = 3,613,587,085,419.58

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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.