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Finding the Third Proportional to 993,014,116.03 and 2,107,072,223.58

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Solution

The third proportional to 993,014,116.03 and 2,107,072,223.58 is: 4,470,987,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,014,116.03 : 2,107,072,223.58 = 2,107,072,223.58 : x
  2. Step 2: Convert to fraction form
    993,014,116.03/2,107,072,223.58 = 2,107,072,223.58/x
  3. Step 3: Cross multiply
    993,014,116.03x = 2,107,072,223.58 × 2,107,072,223.58
  4. Step 4: Simplify right side
    993,014,116.03x = 4,439,753,355,374,780,416
  5. Step 5: Solve for x
    x = 4,439,753,355,374,780,416/993,014,116.03
  6. Step 6: Final answer
    x = 4,470,987,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.