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Finding the Third Proportional to 14,547,642 and 21,821,463

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Solution

The third proportional to 14,547,642 and 21,821,463 is: 32,732,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547,642 : 21,821,463 = 21,821,463 : x
  2. Step 2: Convert to fraction form
    14,547,642/21,821,463 = 21,821,463/x
  3. Step 3: Cross multiply
    14,547,642x = 21,821,463 × 21,821,463
  4. Step 4: Simplify right side
    14,547,642x = 476,176,247,460,369
  5. Step 5: Solve for x
    x = 476,176,247,460,369/14,547,642
  6. Step 6: Final answer
    x = 32,732,194.50

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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.