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Finding the Third Proportional to 52,615,786,410 and 124,163,839,143

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Solution

The third proportional to 52,615,786,410 and 124,163,839,143 is: 293,004,438,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615,786,410 : 124,163,839,143 = 124,163,839,143 : x
  2. Step 2: Convert to fraction form
    52,615,786,410/124,163,839,143 = 124,163,839,143/x
  3. Step 3: Cross multiply
    52,615,786,410x = 124,163,839,143 × 124,163,839,143
  4. Step 4: Simplify right side
    52,615,786,410x = 15,416,658,950,728,779,300,864
  5. Step 5: Solve for x
    x = 15,416,658,950,728,779,300,864/52,615,786,410
  6. Step 6: Final answer
    x = 293,004,438,451.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.