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Finding the Third Proportional to 949,306,443.75 and 2,044,418,015.25

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Solution

The third proportional to 949,306,443.75 and 2,044,418,015.25 is: 4,402,840,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,306,443.75 : 2,044,418,015.25 = 2,044,418,015.25 : x
  2. Step 2: Convert to fraction form
    949,306,443.75/2,044,418,015.25 = 2,044,418,015.25/x
  3. Step 3: Cross multiply
    949,306,443.75x = 2,044,418,015.25 × 2,044,418,015.25
  4. Step 4: Simplify right side
    949,306,443.75x = 4,179,645,021,078,749,184
  5. Step 5: Solve for x
    x = 4,179,645,021,078,749,184/949,306,443.75
  6. Step 6: Final answer
    x = 4,402,840,672.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.