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Finding the Third Proportional to 562,551,965.25 and 1,211,506,969.50

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Solution

The third proportional to 562,551,965.25 and 1,211,506,969.50 is: 2,609,090,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,551,965.25 : 1,211,506,969.50 = 1,211,506,969.50 : x
  2. Step 2: Convert to fraction form
    562,551,965.25/1,211,506,969.50 = 1,211,506,969.50/x
  3. Step 3: Cross multiply
    562,551,965.25x = 1,211,506,969.50 × 1,211,506,969.50
  4. Step 4: Simplify right side
    562,551,965.25x = 1,467,749,137,147,074,048
  5. Step 5: Solve for x
    x = 1,467,749,137,147,074,048/562,551,965.25
  6. Step 6: Final answer
    x = 2,609,090,764.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.