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Finding the Third Proportional to 4,217,429,306 and 8,783,932,729

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Solution

The third proportional to 4,217,429,306 and 8,783,932,729 is: 18,294,906,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,429,306 : 8,783,932,729 = 8,783,932,729 : x
  2. Step 2: Convert to fraction form
    4,217,429,306/8,783,932,729 = 8,783,932,729/x
  3. Step 3: Cross multiply
    4,217,429,306x = 8,783,932,729 × 8,783,932,729
  4. Step 4: Simplify right side
    4,217,429,306x = 77,157,474,187,597,381,632
  5. Step 5: Solve for x
    x = 77,157,474,187,597,381,632/4,217,429,306
  6. Step 6: Final answer
    x = 18,294,906,349.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.