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Finding the Third Proportional to 461,719,352,849 and 992,925,880,618

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Solution

The third proportional to 461,719,352,849 and 992,925,880,618 is: 2,135,283,691,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,719,352,849 : 992,925,880,618 = 992,925,880,618 : x
  2. Step 2: Convert to fraction form
    461,719,352,849/992,925,880,618 = 992,925,880,618/x
  3. Step 3: Cross multiply
    461,719,352,849x = 992,925,880,618 × 992,925,880,618
  4. Step 4: Simplify right side
    461,719,352,849x = 985,901,804,401,030,760,235,008
  5. Step 5: Solve for x
    x = 985,901,804,401,030,760,235,008/461,719,352,849
  6. Step 6: Final answer
    x = 2,135,283,691,960.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.