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Finding the Third Proportional to 260,418,755 and 556,652,348

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Solution

The third proportional to 260,418,755 and 556,652,348 is: 1,189,859,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,418,755 : 556,652,348 = 556,652,348 : x
  2. Step 2: Convert to fraction form
    260,418,755/556,652,348 = 556,652,348/x
  3. Step 3: Cross multiply
    260,418,755x = 556,652,348 × 556,652,348
  4. Step 4: Simplify right side
    260,418,755x = 309,861,836,533,913,088
  5. Step 5: Solve for x
    x = 309,861,836,533,913,088/260,418,755
  6. Step 6: Final answer
    x = 1,189,859,910.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.