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Finding the Third Proportional to 449,139,519 and 977,366,936.81

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Solution

The third proportional to 449,139,519 and 977,366,936.81 is: 2,126,836,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,139,519 : 977,366,936.81 = 977,366,936.81 : x
  2. Step 2: Convert to fraction form
    449,139,519/977,366,936.81 = 977,366,936.81/x
  3. Step 3: Cross multiply
    449,139,519x = 977,366,936.81 × 977,366,936.81
  4. Step 4: Simplify right side
    449,139,519x = 955,246,129,174,249,344
  5. Step 5: Solve for x
    x = 955,246,129,174,249,344/449,139,519
  6. Step 6: Final answer
    x = 2,126,836,069.34

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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.