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Finding the Third Proportional to 469,137,409 and 636,427,413

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Solution

The third proportional to 469,137,409 and 636,427,413 is: 863,371,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,137,409 : 636,427,413 = 636,427,413 : x
  2. Step 2: Convert to fraction form
    469,137,409/636,427,413 = 636,427,413/x
  3. Step 3: Cross multiply
    469,137,409x = 636,427,413 × 636,427,413
  4. Step 4: Simplify right side
    469,137,409x = 405,039,852,017,872,576
  5. Step 5: Solve for x
    x = 405,039,852,017,872,576/469,137,409
  6. Step 6: Final answer
    x = 863,371,464.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.