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Finding the Third Proportional to 1,140,645,614 and 2,444,996,908

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Solution

The third proportional to 1,140,645,614 and 2,444,996,908 is: 5,240,900,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,645,614 : 2,444,996,908 = 2,444,996,908 : x
  2. Step 2: Convert to fraction form
    1,140,645,614/2,444,996,908 = 2,444,996,908/x
  3. Step 3: Cross multiply
    1,140,645,614x = 2,444,996,908 × 2,444,996,908
  4. Step 4: Simplify right side
    1,140,645,614x = 5,978,009,880,129,560,576
  5. Step 5: Solve for x
    x = 5,978,009,880,129,560,576/1,140,645,614
  6. Step 6: Final answer
    x = 5,240,900,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.