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Finding the Third Proportional to 8,975,978 and 19,473,748

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Solution

The third proportional to 8,975,978 and 19,473,748 is: 42,249,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,978 : 19,473,748 = 19,473,748 : x
  2. Step 2: Convert to fraction form
    8,975,978/19,473,748 = 19,473,748/x
  3. Step 3: Cross multiply
    8,975,978x = 19,473,748 × 19,473,748
  4. Step 4: Simplify right side
    8,975,978x = 379,226,861,167,504
  5. Step 5: Solve for x
    x = 379,226,861,167,504/8,975,978
  6. Step 6: Final answer
    x = 42,249,085.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.