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Finding the Third Proportional to 908,614,190 and 1,976,426,914

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Solution

The third proportional to 908,614,190 and 1,976,426,914 is: 4,299,144,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,614,190 : 1,976,426,914 = 1,976,426,914 : x
  2. Step 2: Convert to fraction form
    908,614,190/1,976,426,914 = 1,976,426,914/x
  3. Step 3: Cross multiply
    908,614,190x = 1,976,426,914 × 1,976,426,914
  4. Step 4: Simplify right side
    908,614,190x = 3,906,263,346,383,563,264
  5. Step 5: Solve for x
    x = 3,906,263,346,383,563,264/908,614,190
  6. Step 6: Final answer
    x = 4,299,144,113.50

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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.