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Finding the Third Proportional to 1,565,267,614 and 3,411,783,154

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Solution

The third proportional to 1,565,267,614 and 3,411,783,154 is: 7,436,596,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,267,614 : 3,411,783,154 = 3,411,783,154 : x
  2. Step 2: Convert to fraction form
    1,565,267,614/3,411,783,154 = 3,411,783,154/x
  3. Step 3: Cross multiply
    1,565,267,614x = 3,411,783,154 × 3,411,783,154
  4. Step 4: Simplify right side
    1,565,267,614x = 11,640,264,289,918,187,520
  5. Step 5: Solve for x
    x = 11,640,264,289,918,187,520/1,565,267,614
  6. Step 6: Final answer
    x = 7,436,596,902.54

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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.