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Finding the Third Proportional to 270,169,888 and 637,135,660

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Solution

The third proportional to 270,169,888 and 637,135,660 is: 1,502,542,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,169,888 : 637,135,660 = 637,135,660 : x
  2. Step 2: Convert to fraction form
    270,169,888/637,135,660 = 637,135,660/x
  3. Step 3: Cross multiply
    270,169,888x = 637,135,660 × 637,135,660
  4. Step 4: Simplify right side
    270,169,888x = 405,941,849,243,635,584
  5. Step 5: Solve for x
    x = 405,941,849,243,635,584/270,169,888
  6. Step 6: Final answer
    x = 1,502,542,908.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.