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Finding the Third Proportional to 20,899,784 and 32,281,547

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Solution

The third proportional to 20,899,784 and 32,281,547 is: 49,861,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899,784 : 32,281,547 = 32,281,547 : x
  2. Step 2: Convert to fraction form
    20,899,784/32,281,547 = 32,281,547/x
  3. Step 3: Cross multiply
    20,899,784x = 32,281,547 × 32,281,547
  4. Step 4: Simplify right side
    20,899,784x = 1,042,098,276,713,209
  5. Step 5: Solve for x
    x = 1,042,098,276,713,209/20,899,784
  6. Step 6: Final answer
    x = 49,861,676.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.