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Finding the Third Proportional to 1,973,726,701 and 4,388,629,946

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Solution

The third proportional to 1,973,726,701 and 4,388,629,946 is: 9,758,226,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,726,701 : 4,388,629,946 = 4,388,629,946 : x
  2. Step 2: Convert to fraction form
    1,973,726,701/4,388,629,946 = 4,388,629,946/x
  3. Step 3: Cross multiply
    1,973,726,701x = 4,388,629,946 × 4,388,629,946
  4. Step 4: Simplify right side
    1,973,726,701x = 19,260,072,802,927,964,160
  5. Step 5: Solve for x
    x = 19,260,072,802,927,964,160/1,973,726,701
  6. Step 6: Final answer
    x = 9,758,226,806.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.