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Finding the Third Proportional to 9,287,907 and 13,658,862

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Solution

The third proportional to 9,287,907 and 13,658,862 is: 20,086,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,907 : 13,658,862 = 13,658,862 : x
  2. Step 2: Convert to fraction form
    9,287,907/13,658,862 = 13,658,862/x
  3. Step 3: Cross multiply
    9,287,907x = 13,658,862 × 13,658,862
  4. Step 4: Simplify right side
    9,287,907x = 186,564,511,135,044
  5. Step 5: Solve for x
    x = 186,564,511,135,044/9,287,907
  6. Step 6: Final answer
    x = 20,086,819.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.