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Finding the Third Proportional to 1,642,609,907,190 and 2,414,709,431,748

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Solution

The third proportional to 1,642,609,907,190 and 2,414,709,431,748 is: 3,549,729,984,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,609,907,190 : 2,414,709,431,748 = 2,414,709,431,748 : x
  2. Step 2: Convert to fraction form
    1,642,609,907,190/2,414,709,431,748 = 2,414,709,431,748/x
  3. Step 3: Cross multiply
    1,642,609,907,190x = 2,414,709,431,748 × 2,414,709,431,748
  4. Step 4: Simplify right side
    1,642,609,907,190x = 5,830,821,639,772,749,191,708,672
  5. Step 5: Solve for x
    x = 5,830,821,639,772,749,191,708,672/1,642,609,907,190
  6. Step 6: Final answer
    x = 3,549,729,984,124.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.