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Finding the Third Proportional to 9,691,015,807 and 21,035,975,630

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Solution

The third proportional to 9,691,015,807 and 21,035,975,630 is: 45,662,114,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,015,807 : 21,035,975,630 = 21,035,975,630 : x
  2. Step 2: Convert to fraction form
    9,691,015,807/21,035,975,630 = 21,035,975,630/x
  3. Step 3: Cross multiply
    9,691,015,807x = 21,035,975,630 × 21,035,975,630
  4. Step 4: Simplify right side
    9,691,015,807x = 442,512,270,705,953,865,728
  5. Step 5: Solve for x
    x = 442,512,270,705,953,865,728/9,691,015,807
  6. Step 6: Final answer
    x = 45,662,114,221.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.