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Finding the Third Proportional to 736,395,997 and 1,636,234,949

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Solution

The third proportional to 736,395,997 and 1,636,234,949 is: 3,635,631,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,395,997 : 1,636,234,949 = 1,636,234,949 : x
  2. Step 2: Convert to fraction form
    736,395,997/1,636,234,949 = 1,636,234,949/x
  3. Step 3: Cross multiply
    736,395,997x = 1,636,234,949 × 1,636,234,949
  4. Step 4: Simplify right side
    736,395,997x = 2,677,264,808,329,032,704
  5. Step 5: Solve for x
    x = 2,677,264,808,329,032,704/736,395,997
  6. Step 6: Final answer
    x = 3,635,631,941.56

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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.