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Finding the Third Proportional to 9,983,356 and 14,600,633

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Solution

The third proportional to 9,983,356 and 14,600,633 is: 21,353,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,356 : 14,600,633 = 14,600,633 : x
  2. Step 2: Convert to fraction form
    9,983,356/14,600,633 = 14,600,633/x
  3. Step 3: Cross multiply
    9,983,356x = 14,600,633 × 14,600,633
  4. Step 4: Simplify right side
    9,983,356x = 213,178,484,000,689
  5. Step 5: Solve for x
    x = 213,178,484,000,689/9,983,356
  6. Step 6: Final answer
    x = 21,353,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.