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Finding the Third Proportional to 469,137,407 and 636,427,410

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Solution

The third proportional to 469,137,407 and 636,427,410 is: 863,371,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,137,407 : 636,427,410 = 636,427,410 : x
  2. Step 2: Convert to fraction form
    469,137,407/636,427,410 = 636,427,410/x
  3. Step 3: Cross multiply
    469,137,407x = 636,427,410 × 636,427,410
  4. Step 4: Simplify right side
    469,137,407x = 405,039,848,199,308,096
  5. Step 5: Solve for x
    x = 405,039,848,199,308,096/469,137,407
  6. Step 6: Final answer
    x = 863,371,460.38

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