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Finding the Third Proportional to 262,121,769.75 and 406,994,018.06

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Solution

The third proportional to 262,121,769.75 and 406,994,018.06 is: 631,935,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,121,769.75 : 406,994,018.06 = 406,994,018.06 : x
  2. Step 2: Convert to fraction form
    262,121,769.75/406,994,018.06 = 406,994,018.06/x
  3. Step 3: Cross multiply
    262,121,769.75x = 406,994,018.06 × 406,994,018.06
  4. Step 4: Simplify right side
    262,121,769.75x = 165,644,130,738,658,592
  5. Step 5: Solve for x
    x = 165,644,130,738,658,592/262,121,769.75
  6. Step 6: Final answer
    x = 631,935,801.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.