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Finding the Third Proportional to 48,744,251,758 and 106,142,044,732

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Solution

The third proportional to 48,744,251,758 and 106,142,044,732 is: 231,127,430,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744,251,758 : 106,142,044,732 = 106,142,044,732 : x
  2. Step 2: Convert to fraction form
    48,744,251,758/106,142,044,732 = 106,142,044,732/x
  3. Step 3: Cross multiply
    48,744,251,758x = 106,142,044,732 × 106,142,044,732
  4. Step 4: Simplify right side
    48,744,251,758x = 11,266,133,659,889,889,705,984
  5. Step 5: Solve for x
    x = 11,266,133,659,889,889,705,984/48,744,251,758
  6. Step 6: Final answer
    x = 231,127,430,488.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.