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Finding the Third Proportional to 1,216,252,012 and 2,655,443,534

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Solution

The third proportional to 1,216,252,012 and 2,655,443,534 is: 5,797,630,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,252,012 : 2,655,443,534 = 2,655,443,534 : x
  2. Step 2: Convert to fraction form
    1,216,252,012/2,655,443,534 = 2,655,443,534/x
  3. Step 3: Cross multiply
    1,216,252,012x = 2,655,443,534 × 2,655,443,534
  4. Step 4: Simplify right side
    1,216,252,012x = 7,051,380,362,262,409,216
  5. Step 5: Solve for x
    x = 7,051,380,362,262,409,216/1,216,252,012
  6. Step 6: Final answer
    x = 5,797,630,994.80

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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.