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Finding the Third Proportional to 1,948,838,730 and 4,599,061,578

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Solution

The third proportional to 1,948,838,730 and 4,599,061,578 is: 10,853,318,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,838,730 : 4,599,061,578 = 4,599,061,578 : x
  2. Step 2: Convert to fraction form
    1,948,838,730/4,599,061,578 = 4,599,061,578/x
  3. Step 3: Cross multiply
    1,948,838,730x = 4,599,061,578 × 4,599,061,578
  4. Step 4: Simplify right side
    1,948,838,730x = 21,151,367,398,235,848,704
  5. Step 5: Solve for x
    x = 21,151,367,398,235,848,704/1,948,838,730
  6. Step 6: Final answer
    x = 10,853,318,477.63

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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.