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Finding the Third Proportional to 9,597,465,349.50 and 20,865,420,844.50

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Solution

The third proportional to 9,597,465,349.50 and 20,865,420,844.50 is: 45,362,579,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597,465,349.50 : 20,865,420,844.50 = 20,865,420,844.50 : x
  2. Step 2: Convert to fraction form
    9,597,465,349.50/20,865,420,844.50 = 20,865,420,844.50/x
  3. Step 3: Cross multiply
    9,597,465,349.50x = 20,865,420,844.50 × 20,865,420,844.50
  4. Step 4: Simplify right side
    9,597,465,349.50x = 435,365,787,018,095,099,904
  5. Step 5: Solve for x
    x = 435,365,787,018,095,099,904/9,597,465,349.50
  6. Step 6: Final answer
    x = 45,362,579,719.11

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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.