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Finding the Third Proportional to 1,434,832,404 and 2,984,179,044

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Solution

The third proportional to 1,434,832,404 and 2,984,179,044 is: 6,206,525,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,832,404 : 2,984,179,044 = 2,984,179,044 : x
  2. Step 2: Convert to fraction form
    1,434,832,404/2,984,179,044 = 2,984,179,044/x
  3. Step 3: Cross multiply
    1,434,832,404x = 2,984,179,044 × 2,984,179,044
  4. Step 4: Simplify right side
    1,434,832,404x = 8,905,324,566,648,754,176
  5. Step 5: Solve for x
    x = 8,905,324,566,648,754,176/1,434,832,404
  6. Step 6: Final answer
    x = 6,206,525,962.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.