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Finding the Third Proportional to 413,741,182.50 and 900,123,246

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Solution

The third proportional to 413,741,182.50 and 900,123,246 is: 1,958,281,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741,182.50 : 900,123,246 = 900,123,246 : x
  2. Step 2: Convert to fraction form
    413,741,182.50/900,123,246 = 900,123,246/x
  3. Step 3: Cross multiply
    413,741,182.50x = 900,123,246 × 900,123,246
  4. Step 4: Simplify right side
    413,741,182.50x = 810,221,857,989,576,576
  5. Step 5: Solve for x
    x = 810,221,857,989,576,576/413,741,182.50
  6. Step 6: Final answer
    x = 1,958,281,873.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.