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Finding the Third Proportional to 9,678,898 and 14,856,731

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Solution

The third proportional to 9,678,898 and 14,856,731 is: 22,804,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678,898 : 14,856,731 = 14,856,731 : x
  2. Step 2: Convert to fraction form
    9,678,898/14,856,731 = 14,856,731/x
  3. Step 3: Cross multiply
    9,678,898x = 14,856,731 × 14,856,731
  4. Step 4: Simplify right side
    9,678,898x = 220,722,456,006,361
  5. Step 5: Solve for x
    x = 220,722,456,006,361/9,678,898
  6. Step 6: Final answer
    x = 22,804,502.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.