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Finding the Third Proportional to 4,501,445,696 and 9,597,470,848

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Solution

The third proportional to 4,501,445,696 and 9,597,470,848 is: 20,462,636,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501,445,696 : 9,597,470,848 = 9,597,470,848 : x
  2. Step 2: Convert to fraction form
    4,501,445,696/9,597,470,848 = 9,597,470,848/x
  3. Step 3: Cross multiply
    4,501,445,696x = 9,597,470,848 × 9,597,470,848
  4. Step 4: Simplify right side
    4,501,445,696x = 92,111,446,678,209,839,104
  5. Step 5: Solve for x
    x = 92,111,446,678,209,839,104/4,501,445,696
  6. Step 6: Final answer
    x = 20,462,636,428.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.