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Finding the Third Proportional to 2,622,677,742 and 5,350,708,210.50

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Solution

The third proportional to 2,622,677,742 and 5,350,708,210.50 is: 10,916,353,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622,677,742 : 5,350,708,210.50 = 5,350,708,210.50 : x
  2. Step 2: Convert to fraction form
    2,622,677,742/5,350,708,210.50 = 5,350,708,210.50/x
  3. Step 3: Cross multiply
    2,622,677,742x = 5,350,708,210.50 × 5,350,708,210.50
  4. Step 4: Simplify right side
    2,622,677,742x = 28,630,078,353,912,111,104
  5. Step 5: Solve for x
    x = 28,630,078,353,912,111,104/2,622,677,742
  6. Step 6: Final answer
    x = 10,916,353,883.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.