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Finding the Third Proportional to 51,398,784 and 82,655,424

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Solution

The third proportional to 51,398,784 and 82,655,424 is: 132,919,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398,784 : 82,655,424 = 82,655,424 : x
  2. Step 2: Convert to fraction form
    51,398,784/82,655,424 = 82,655,424/x
  3. Step 3: Cross multiply
    51,398,784x = 82,655,424 × 82,655,424
  4. Step 4: Simplify right side
    51,398,784x = 6,831,919,116,619,776
  5. Step 5: Solve for x
    x = 6,831,919,116,619,776/51,398,784
  6. Step 6: Final answer
    x = 132,919,858.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.