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Finding the Third Proportional to 648,581,481 and 1,426,877,874

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Solution

The third proportional to 648,581,481 and 1,426,877,874 is: 3,139,128,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,581,481 : 1,426,877,874 = 1,426,877,874 : x
  2. Step 2: Convert to fraction form
    648,581,481/1,426,877,874 = 1,426,877,874/x
  3. Step 3: Cross multiply
    648,581,481x = 1,426,877,874 × 1,426,877,874
  4. Step 4: Simplify right side
    648,581,481x = 2,035,980,467,310,759,936
  5. Step 5: Solve for x
    x = 2,035,980,467,310,759,936/648,581,481
  6. Step 6: Final answer
    x = 3,139,128,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.