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Finding the Third Proportional to 1,298,801,206.50 and 2,835,673,077

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Solution

The third proportional to 1,298,801,206.50 and 2,835,673,077 is: 6,191,125,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,801,206.50 : 2,835,673,077 = 2,835,673,077 : x
  2. Step 2: Convert to fraction form
    1,298,801,206.50/2,835,673,077 = 2,835,673,077/x
  3. Step 3: Cross multiply
    1,298,801,206.50x = 2,835,673,077 × 2,835,673,077
  4. Step 4: Simplify right side
    1,298,801,206.50x = 8,041,041,799,622,647,808
  5. Step 5: Solve for x
    x = 8,041,041,799,622,647,808/1,298,801,206.50
  6. Step 6: Final answer
    x = 6,191,125,908.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.