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Finding the Third Proportional to 9,157,698 and 14,497,623

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Solution

The third proportional to 9,157,698 and 14,497,623 is: 22,951,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157,698 : 14,497,623 = 14,497,623 : x
  2. Step 2: Convert to fraction form
    9,157,698/14,497,623 = 14,497,623/x
  3. Step 3: Cross multiply
    9,157,698x = 14,497,623 × 14,497,623
  4. Step 4: Simplify right side
    9,157,698x = 210,181,072,650,129
  5. Step 5: Solve for x
    x = 210,181,072,650,129/9,157,698
  6. Step 6: Final answer
    x = 22,951,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.