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Finding the Third Proportional to 1,636,494,435 and 2,495,599,868.25

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Solution

The third proportional to 1,636,494,435 and 2,495,599,868.25 is: 3,805,707,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,494,435 : 2,495,599,868.25 = 2,495,599,868.25 : x
  2. Step 2: Convert to fraction form
    1,636,494,435/2,495,599,868.25 = 2,495,599,868.25/x
  3. Step 3: Cross multiply
    1,636,494,435x = 2,495,599,868.25 × 2,495,599,868.25
  4. Step 4: Simplify right side
    1,636,494,435x = 6,228,018,702,409,417,728
  5. Step 5: Solve for x
    x = 6,228,018,702,409,417,728/1,636,494,435
  6. Step 6: Final answer
    x = 3,805,707,229.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.