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Finding the Third Proportional to 269,404,066 and 581,918,276

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Solution

The third proportional to 269,404,066 and 581,918,276 is: 1,256,955,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,404,066 : 581,918,276 = 581,918,276 : x
  2. Step 2: Convert to fraction form
    269,404,066/581,918,276 = 581,918,276/x
  3. Step 3: Cross multiply
    269,404,066x = 581,918,276 × 581,918,276
  4. Step 4: Simplify right side
    269,404,066x = 338,628,879,942,812,160
  5. Step 5: Solve for x
    x = 338,628,879,942,812,160/269,404,066
  6. Step 6: Final answer
    x = 1,256,955,342.10

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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.