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Finding the Third Proportional to 1,914,437,745 and 4,164,304,913

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Solution

The third proportional to 1,914,437,745 and 4,164,304,913 is: 9,058,239,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,437,745 : 4,164,304,913 = 4,164,304,913 : x
  2. Step 2: Convert to fraction form
    1,914,437,745/4,164,304,913 = 4,164,304,913/x
  3. Step 3: Cross multiply
    1,914,437,745x = 4,164,304,913 × 4,164,304,913
  4. Step 4: Simplify right side
    1,914,437,745x = 17,341,435,408,435,937,280
  5. Step 5: Solve for x
    x = 17,341,435,408,435,937,280/1,914,437,745
  6. Step 6: Final answer
    x = 9,058,239,398.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.