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Finding the Third Proportional to 48,680,581,889 and 105,741,251,865

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Solution

The third proportional to 48,680,581,889 and 105,741,251,865 is: 229,685,264,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,680,581,889 : 105,741,251,865 = 105,741,251,865 : x
  2. Step 2: Convert to fraction form
    48,680,581,889/105,741,251,865 = 105,741,251,865/x
  3. Step 3: Cross multiply
    48,680,581,889x = 105,741,251,865 × 105,741,251,865
  4. Step 4: Simplify right side
    48,680,581,889x = 11,181,212,345,977,366,642,688
  5. Step 5: Solve for x
    x = 11,181,212,345,977,366,642,688/48,680,581,889
  6. Step 6: Final answer
    x = 229,685,264,885.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.