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Finding the Third Proportional to 1,031,631,984 and 2,265,930,852

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Solution

The third proportional to 1,031,631,984 and 2,265,930,852 is: 4,977,009,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,631,984 : 2,265,930,852 = 2,265,930,852 : x
  2. Step 2: Convert to fraction form
    1,031,631,984/2,265,930,852 = 2,265,930,852/x
  3. Step 3: Cross multiply
    1,031,631,984x = 2,265,930,852 × 2,265,930,852
  4. Step 4: Simplify right side
    1,031,631,984x = 5,134,442,626,045,446,144
  5. Step 5: Solve for x
    x = 5,134,442,626,045,446,144/1,031,631,984
  6. Step 6: Final answer
    x = 4,977,009,927.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.