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Finding the Third Proportional to 22,935,776,389,596 and 49,143,024,843,192

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Solution

The third proportional to 22,935,776,389,596 and 49,143,024,843,192 is: 105,295,624,168,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935,776,389,596 : 49,143,024,843,192 = 49,143,024,843,192 : x
  2. Step 2: Convert to fraction form
    22,935,776,389,596/49,143,024,843,192 = 49,143,024,843,192/x
  3. Step 3: Cross multiply
    22,935,776,389,596x = 49,143,024,843,192 × 49,143,024,843,192
  4. Step 4: Simplify right side
    22,935,776,389,596x = 2,415,036,890,738,586,108,091,695,104
  5. Step 5: Solve for x
    x = 2,415,036,890,738,586,108,091,695,104/22,935,776,389,596
  6. Step 6: Final answer
    x = 105,295,624,168,802.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.