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Finding the Third Proportional to 283,676,883 and 621,161,526

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Solution

The third proportional to 283,676,883 and 621,161,526 is: 1,360,144,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,676,883 : 621,161,526 = 621,161,526 : x
  2. Step 2: Convert to fraction form
    283,676,883/621,161,526 = 621,161,526/x
  3. Step 3: Cross multiply
    283,676,883x = 621,161,526 × 621,161,526
  4. Step 4: Simplify right side
    283,676,883x = 385,841,641,382,648,704
  5. Step 5: Solve for x
    x = 385,841,641,382,648,704/283,676,883
  6. Step 6: Final answer
    x = 1,360,144,814.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.