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Finding the Third Proportional to 260,836,669.13 and 562,532,941.13

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Solution

The third proportional to 260,836,669.13 and 562,532,941.13 is: 1,213,185,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,836,669.13 : 562,532,941.13 = 562,532,941.13 : x
  2. Step 2: Convert to fraction form
    260,836,669.13/562,532,941.13 = 562,532,941.13/x
  3. Step 3: Cross multiply
    260,836,669.13x = 562,532,941.13 × 562,532,941.13
  4. Step 4: Simplify right side
    260,836,669.13x = 316,443,309,850,742,720
  5. Step 5: Solve for x
    x = 316,443,309,850,742,720/260,836,669.13
  6. Step 6: Final answer
    x = 1,213,185,672.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.