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Finding the Third Proportional to 9,573,363 and 14,369,838

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Solution

The third proportional to 9,573,363 and 14,369,838 is: 21,569,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573,363 : 14,369,838 = 14,369,838 : x
  2. Step 2: Convert to fraction form
    9,573,363/14,369,838 = 14,369,838/x
  3. Step 3: Cross multiply
    9,573,363x = 14,369,838 × 14,369,838
  4. Step 4: Simplify right side
    9,573,363x = 206,492,244,146,244
  5. Step 5: Solve for x
    x = 206,492,244,146,244/9,573,363
  6. Step 6: Final answer
    x = 21,569,457.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.