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Finding the Third Proportional to 4,501,445,698 and 9,597,470,852

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Solution

The third proportional to 4,501,445,698 and 9,597,470,852 is: 20,462,636,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501,445,698 : 9,597,470,852 = 9,597,470,852 : x
  2. Step 2: Convert to fraction form
    4,501,445,698/9,597,470,852 = 9,597,470,852/x
  3. Step 3: Cross multiply
    4,501,445,698x = 9,597,470,852 × 9,597,470,852
  4. Step 4: Simplify right side
    4,501,445,698x = 92,111,446,754,989,604,864
  5. Step 5: Solve for x
    x = 92,111,446,754,989,604,864/4,501,445,698
  6. Step 6: Final answer
    x = 20,462,636,436.09

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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.