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Finding the Third Proportional to 265,226,910 and 557,938,368

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Solution

The third proportional to 265,226,910 and 557,938,368 is: 1,173,693,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,226,910 : 557,938,368 = 557,938,368 : x
  2. Step 2: Convert to fraction form
    265,226,910/557,938,368 = 557,938,368/x
  3. Step 3: Cross multiply
    265,226,910x = 557,938,368 × 557,938,368
  4. Step 4: Simplify right side
    265,226,910x = 311,295,222,486,503,424
  5. Step 5: Solve for x
    x = 311,295,222,486,503,424/265,226,910
  6. Step 6: Final answer
    x = 1,173,693,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.