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Finding the Third Proportional to 9,114,173,696 and 18,711,516,928

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Solution

The third proportional to 9,114,173,696 and 18,711,516,928 is: 38,414,987,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114,173,696 : 18,711,516,928 = 18,711,516,928 : x
  2. Step 2: Convert to fraction form
    9,114,173,696/18,711,516,928 = 18,711,516,928/x
  3. Step 3: Cross multiply
    9,114,173,696x = 18,711,516,928 × 18,711,516,928
  4. Step 4: Simplify right side
    9,114,173,696x = 350,120,865,746,830,557,184
  5. Step 5: Solve for x
    x = 350,120,865,746,830,557,184/9,114,173,696
  6. Step 6: Final answer
    x = 38,414,987,186.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.