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Finding the Third Proportional to 1,947,087,408 and 4,591,732,080

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Solution

The third proportional to 1,947,087,408 and 4,591,732,080 is: 10,828,483,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,087,408 : 4,591,732,080 = 4,591,732,080 : x
  2. Step 2: Convert to fraction form
    1,947,087,408/4,591,732,080 = 4,591,732,080/x
  3. Step 3: Cross multiply
    1,947,087,408x = 4,591,732,080 × 4,591,732,080
  4. Step 4: Simplify right side
    1,947,087,408x = 21,084,003,494,501,126,144
  5. Step 5: Solve for x
    x = 21,084,003,494,501,126,144/1,947,087,408
  6. Step 6: Final answer
    x = 10,828,483,306.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.