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Finding the Third Proportional to 48,744,251,754 and 106,142,044,724

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Solution

The third proportional to 48,744,251,754 and 106,142,044,724 is: 231,127,430,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744,251,754 : 106,142,044,724 = 106,142,044,724 : x
  2. Step 2: Convert to fraction form
    48,744,251,754/106,142,044,724 = 106,142,044,724/x
  3. Step 3: Cross multiply
    48,744,251,754x = 106,142,044,724 × 106,142,044,724
  4. Step 4: Simplify right side
    48,744,251,754x = 11,266,133,658,191,616,016,384
  5. Step 5: Solve for x
    x = 11,266,133,658,191,616,016,384/48,744,251,754
  6. Step 6: Final answer
    x = 231,127,430,472.19

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Why These Related Problems?

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