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Finding the Third Proportional to 2,224,669,668 and 3,365,636,700

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Solution

The third proportional to 2,224,669,668 and 3,365,636,700 is: 5,091,771,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,669,668 : 3,365,636,700 = 3,365,636,700 : x
  2. Step 2: Convert to fraction form
    2,224,669,668/3,365,636,700 = 3,365,636,700/x
  3. Step 3: Cross multiply
    2,224,669,668x = 3,365,636,700 × 3,365,636,700
  4. Step 4: Simplify right side
    2,224,669,668x = 11,327,510,396,386,889,728
  5. Step 5: Solve for x
    x = 11,327,510,396,386,889,728/2,224,669,668
  6. Step 6: Final answer
    x = 5,091,771,852.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.