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Finding the Third Proportional to 1,461,563,649 and 3,000,609,225

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Solution

The third proportional to 1,461,563,649 and 3,000,609,225 is: 6,160,289,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,563,649 : 3,000,609,225 = 3,000,609,225 : x
  2. Step 2: Convert to fraction form
    1,461,563,649/3,000,609,225 = 3,000,609,225/x
  3. Step 3: Cross multiply
    1,461,563,649x = 3,000,609,225 × 3,000,609,225
  4. Step 4: Simplify right side
    1,461,563,649x = 9,003,655,721,155,100,672
  5. Step 5: Solve for x
    x = 9,003,655,721,155,100,672/1,461,563,649
  6. Step 6: Final answer
    x = 6,160,289,856.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.