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Finding the Third Proportional to 998,136,526 and 2,225,776,508

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Solution

The third proportional to 998,136,526 and 2,225,776,508 is: 4,963,330,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,136,526 : 2,225,776,508 = 2,225,776,508 : x
  2. Step 2: Convert to fraction form
    998,136,526/2,225,776,508 = 2,225,776,508/x
  3. Step 3: Cross multiply
    998,136,526x = 2,225,776,508 × 2,225,776,508
  4. Step 4: Simplify right side
    998,136,526x = 4,954,081,063,564,674,048
  5. Step 5: Solve for x
    x = 4,954,081,063,564,674,048/998,136,526
  6. Step 6: Final answer
    x = 4,963,330,100.16

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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.