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Finding the Third Proportional to 7,622,262,698 and 16,510,815,888

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Solution

The third proportional to 7,622,262,698 and 16,510,815,888 is: 35,764,582,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622,262,698 : 16,510,815,888 = 16,510,815,888 : x
  2. Step 2: Convert to fraction form
    7,622,262,698/16,510,815,888 = 16,510,815,888/x
  3. Step 3: Cross multiply
    7,622,262,698x = 16,510,815,888 × 16,510,815,888
  4. Step 4: Simplify right side
    7,622,262,698x = 272,607,041,287,433,224,192
  5. Step 5: Solve for x
    x = 272,607,041,287,433,224,192/7,622,262,698
  6. Step 6: Final answer
    x = 35,764,582,262.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.