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Finding the Third Proportional to 14,547,632 and 21,821,448

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Solution

The third proportional to 14,547,632 and 21,821,448 is: 32,732,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547,632 : 21,821,448 = 21,821,448 : x
  2. Step 2: Convert to fraction form
    14,547,632/21,821,448 = 21,821,448/x
  3. Step 3: Cross multiply
    14,547,632x = 21,821,448 × 21,821,448
  4. Step 4: Simplify right side
    14,547,632x = 476,175,592,816,704
  5. Step 5: Solve for x
    x = 476,175,592,816,704/14,547,632
  6. Step 6: Final answer
    x = 32,732,172

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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.