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Finding the Third Proportional to 260,836,273 and 562,532,146

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Solution

The third proportional to 260,836,273 and 562,532,146 is: 1,213,184,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,836,273 : 562,532,146 = 562,532,146 : x
  2. Step 2: Convert to fraction form
    260,836,273/562,532,146 = 562,532,146/x
  3. Step 3: Cross multiply
    260,836,273x = 562,532,146 × 562,532,146
  4. Step 4: Simplify right side
    260,836,273x = 316,442,415,283,365,312
  5. Step 5: Solve for x
    x = 316,442,415,283,365,312/260,836,273
  6. Step 6: Final answer
    x = 1,213,184,085.34

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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.