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Finding the Third Proportional to 1,824,378,018 and 3,983,165,301

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Solution

The third proportional to 1,824,378,018 and 3,983,165,301 is: 8,696,446,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,378,018 : 3,983,165,301 = 3,983,165,301 : x
  2. Step 2: Convert to fraction form
    1,824,378,018/3,983,165,301 = 3,983,165,301/x
  3. Step 3: Cross multiply
    1,824,378,018x = 3,983,165,301 × 3,983,165,301
  4. Step 4: Simplify right side
    1,824,378,018x = 15,865,605,815,090,419,712
  5. Step 5: Solve for x
    x = 15,865,605,815,090,419,712/1,824,378,018
  6. Step 6: Final answer
    x = 8,696,446,492.20

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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.