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Finding the Third Proportional to 1,150,105,409 and 1,644,663,390

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Solution

The third proportional to 1,150,105,409 and 1,644,663,390 is: 2,351,886,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,105,409 : 1,644,663,390 = 1,644,663,390 : x
  2. Step 2: Convert to fraction form
    1,150,105,409/1,644,663,390 = 1,644,663,390/x
  3. Step 3: Cross multiply
    1,150,105,409x = 1,644,663,390 × 1,644,663,390
  4. Step 4: Simplify right side
    1,150,105,409x = 2,704,917,666,406,291,968
  5. Step 5: Solve for x
    x = 2,704,917,666,406,291,968/1,150,105,409
  6. Step 6: Final answer
    x = 2,351,886,744.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.