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Finding the Third Proportional to 5,070,447,517.50 and 10,838,691,891

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Solution

The third proportional to 5,070,447,517.50 and 10,838,691,891 is: 23,169,008,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070,447,517.50 : 10,838,691,891 = 10,838,691,891 : x
  2. Step 2: Convert to fraction form
    5,070,447,517.50/10,838,691,891 = 10,838,691,891/x
  3. Step 3: Cross multiply
    5,070,447,517.50x = 10,838,691,891 × 10,838,691,891
  4. Step 4: Simplify right side
    5,070,447,517.50x = 117,477,241,908,029,161,472
  5. Step 5: Solve for x
    x = 117,477,241,908,029,161,472/5,070,447,517.50
  6. Step 6: Final answer
    x = 23,169,008,554.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.