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Finding the Third Proportional to 998,136,528 and 2,225,776,512

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Solution

The third proportional to 998,136,528 and 2,225,776,512 is: 4,963,330,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,136,528 : 2,225,776,512 = 2,225,776,512 : x
  2. Step 2: Convert to fraction form
    998,136,528/2,225,776,512 = 2,225,776,512/x
  3. Step 3: Cross multiply
    998,136,528x = 2,225,776,512 × 2,225,776,512
  4. Step 4: Simplify right side
    998,136,528x = 4,954,081,081,370,886,144
  5. Step 5: Solve for x
    x = 4,954,081,081,370,886,144/998,136,528
  6. Step 6: Final answer
    x = 4,963,330,108.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.