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Finding the Third Proportional to 5,466,646,089 and 8,164,146,619

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Solution

The third proportional to 5,466,646,089 and 8,164,146,619 is: 12,192,720,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466,646,089 : 8,164,146,619 = 8,164,146,619 : x
  2. Step 2: Convert to fraction form
    5,466,646,089/8,164,146,619 = 8,164,146,619/x
  3. Step 3: Cross multiply
    5,466,646,089x = 8,164,146,619 × 8,164,146,619
  4. Step 4: Simplify right side
    5,466,646,089x = 66,653,290,016,529,129,472
  5. Step 5: Solve for x
    x = 66,653,290,016,529,129,472/5,466,646,089
  6. Step 6: Final answer
    x = 12,192,720,898.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.