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Finding the Third Proportional to 269,468,613 and 584,674,510.50

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Solution

The third proportional to 269,468,613 and 584,674,510.50 is: 1,268,586,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,468,613 : 584,674,510.50 = 584,674,510.50 : x
  2. Step 2: Convert to fraction form
    269,468,613/584,674,510.50 = 584,674,510.50/x
  3. Step 3: Cross multiply
    269,468,613x = 584,674,510.50 × 584,674,510.50
  4. Step 4: Simplify right side
    269,468,613x = 341,844,283,228,414,592
  5. Step 5: Solve for x
    x = 341,844,283,228,414,592/269,468,613
  6. Step 6: Final answer
    x = 1,268,586,643.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.