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Finding the Third Proportional to 11,171,012,012 and 24,303,327,814

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Solution

The third proportional to 11,171,012,012 and 24,303,327,814 is: 52,873,610,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171,012,012 : 24,303,327,814 = 24,303,327,814 : x
  2. Step 2: Convert to fraction form
    11,171,012,012/24,303,327,814 = 24,303,327,814/x
  3. Step 3: Cross multiply
    11,171,012,012x = 24,303,327,814 × 24,303,327,814
  4. Step 4: Simplify right side
    11,171,012,012x = 590,651,742,834,746,064,896
  5. Step 5: Solve for x
    x = 590,651,742,834,746,064,896/11,171,012,012
  6. Step 6: Final answer
    x = 52,873,610,931.60

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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.