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Finding the Third Proportional to 2,470,608,537.38 and 3,763,801,210.50

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Solution

The third proportional to 2,470,608,537.38 and 3,763,801,210.50 is: 5,733,890,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470,608,537.38 : 3,763,801,210.50 = 3,763,801,210.50 : x
  2. Step 2: Convert to fraction form
    2,470,608,537.38/3,763,801,210.50 = 3,763,801,210.50/x
  3. Step 3: Cross multiply
    2,470,608,537.38x = 3,763,801,210.50 × 3,763,801,210.50
  4. Step 4: Simplify right side
    2,470,608,537.38x = 14,166,199,552,161,265,664
  5. Step 5: Solve for x
    x = 14,166,199,552,161,265,664/2,470,608,537.38
  6. Step 6: Final answer
    x = 5,733,890,795.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.