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Finding the Third Proportional to 265,786,514 and 382,875,842.75

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Solution

The third proportional to 265,786,514 and 382,875,842.75 is: 551,547,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,786,514 : 382,875,842.75 = 382,875,842.75 : x
  2. Step 2: Convert to fraction form
    265,786,514/382,875,842.75 = 382,875,842.75/x
  3. Step 3: Cross multiply
    265,786,514x = 382,875,842.75 × 382,875,842.75
  4. Step 4: Simplify right side
    265,786,514x = 146,593,910,961,522,720
  5. Step 5: Solve for x
    x = 146,593,910,961,522,720/265,786,514
  6. Step 6: Final answer
    x = 551,547,588.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.