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Finding the Third Proportional to 9,527,276 and 20,283,528

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Solution

The third proportional to 9,527,276 and 20,283,528 is: 43,183,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527,276 : 20,283,528 = 20,283,528 : x
  2. Step 2: Convert to fraction form
    9,527,276/20,283,528 = 20,283,528/x
  3. Step 3: Cross multiply
    9,527,276x = 20,283,528 × 20,283,528
  4. Step 4: Simplify right side
    9,527,276x = 411,421,508,126,784
  5. Step 5: Solve for x
    x = 411,421,508,126,784/9,527,276
  6. Step 6: Final answer
    x = 43,183,540.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.