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Finding the Third Proportional to 921,531,205 and 2,030,899,817

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Solution

The third proportional to 921,531,205 and 2,030,899,817 is: 4,475,761,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,531,205 : 2,030,899,817 = 2,030,899,817 : x
  2. Step 2: Convert to fraction form
    921,531,205/2,030,899,817 = 2,030,899,817/x
  3. Step 3: Cross multiply
    921,531,205x = 2,030,899,817 × 2,030,899,817
  4. Step 4: Simplify right side
    921,531,205x = 4,124,554,066,690,633,728
  5. Step 5: Solve for x
    x = 4,124,554,066,690,633,728/921,531,205
  6. Step 6: Final answer
    x = 4,475,761,693.49

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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.