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Finding the Third Proportional to 269,653,076 and 407,313,470

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Solution

The third proportional to 269,653,076 and 407,313,470 is: 615,250,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,653,076 : 407,313,470 = 407,313,470 : x
  2. Step 2: Convert to fraction form
    269,653,076/407,313,470 = 407,313,470/x
  3. Step 3: Cross multiply
    269,653,076x = 407,313,470 × 407,313,470
  4. Step 4: Simplify right side
    269,653,076x = 165,904,262,843,440,896
  5. Step 5: Solve for x
    x = 165,904,262,843,440,896/269,653,076
  6. Step 6: Final answer
    x = 615,250,770.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.