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Finding the Third Proportional to 1,699,297,278 and 2,624,411,997

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Solution

The third proportional to 1,699,297,278 and 2,624,411,997 is: 4,053,168,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,297,278 : 2,624,411,997 = 2,624,411,997 : x
  2. Step 2: Convert to fraction form
    1,699,297,278/2,624,411,997 = 2,624,411,997/x
  3. Step 3: Cross multiply
    1,699,297,278x = 2,624,411,997 × 2,624,411,997
  4. Step 4: Simplify right side
    1,699,297,278x = 6,887,538,329,997,528,064
  5. Step 5: Solve for x
    x = 6,887,538,329,997,528,064/1,699,297,278
  6. Step 6: Final answer
    x = 4,053,168,576.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.