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Finding the Third Proportional to 1,579,021,848 and 3,421,638,432

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Solution

The third proportional to 1,579,021,848 and 3,421,638,432 is: 7,414,469,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,021,848 : 3,421,638,432 = 3,421,638,432 : x
  2. Step 2: Convert to fraction form
    1,579,021,848/3,421,638,432 = 3,421,638,432/x
  3. Step 3: Cross multiply
    1,579,021,848x = 3,421,638,432 × 3,421,638,432
  4. Step 4: Simplify right side
    1,579,021,848x = 11,707,609,559,339,417,600
  5. Step 5: Solve for x
    x = 11,707,609,559,339,417,600/1,579,021,848
  6. Step 6: Final answer
    x = 7,414,469,644.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.